{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "### 2.6.1. 基本概率论"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "adad0fd8ee42cfff"
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import torch\n",
    "from torch.distributions import multinomial\n",
    "from d2l import torch as d2l"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-28T07:53:50.917910Z",
     "start_time": "2024-03-28T07:53:46.568257Z"
    }
   },
   "id": "a700a6041580d42d",
   "execution_count": 1
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "tensor([1., 0., 0., 0., 0., 0.])"
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "fair_probs = torch.ones([6]) / 6\n",
    "multinomial.Multinomial(1, fair_probs).sample()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-28T07:56:17.716482Z",
     "start_time": "2024-03-28T07:56:17.695131Z"
    }
   },
   "id": "984128b5a5c6a2a2",
   "execution_count": 4
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "tensor([2., 0., 3., 2., 2., 1.])"
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "multinomial.Multinomial(10, fair_probs).sample()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-28T07:56:33.115501Z",
     "start_time": "2024-03-28T07:56:33.090454Z"
    }
   },
   "id": "c3e1dee8e3f6a762",
   "execution_count": 5
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "data": {
      "text/plain": "tensor([0.1550, 0.1880, 0.1770, 0.1620, 0.1550, 0.1630])"
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 将结果存储为32位浮点数以进行除法\n",
    "counts = multinomial.Multinomial(1000, fair_probs).sample()\n",
    "counts / 1000  # 相对频率作为估计值"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-28T07:56:51.538740Z",
     "start_time": "2024-03-28T07:56:51.524677Z"
    }
   },
   "id": "10277131638dec6a",
   "execution_count": 6
  },
  {
   "cell_type": "code",
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "tensor([[5., 1., 0., 0., 2., 2.],\n",
      "        [0., 3., 0., 6., 1., 0.],\n",
      "        [1., 2., 1., 4., 1., 1.],\n",
      "        ...,\n",
      "        [1., 0., 4., 2., 2., 1.],\n",
      "        [3., 2., 2., 1., 1., 1.],\n",
      "        [2., 0., 4., 1., 2., 1.]])\n",
      "tensor([[  5.,   1.,   0.,   0.,   2.,   2.],\n",
      "        [  5.,   4.,   0.,   6.,   3.,   2.],\n",
      "        [  6.,   6.,   1.,  10.,   4.,   3.],\n",
      "        ...,\n",
      "        [824., 830., 795., 879., 867., 785.],\n",
      "        [827., 832., 797., 880., 868., 786.],\n",
      "        [829., 832., 801., 881., 870., 787.]])\n"
     ]
    },
    {
     "data": {
      "text/plain": "<Figure size 600x450 with 1 Axes>",
      "image/svg+xml": "<?xml version=\"1.0\" encoding=\"utf-8\" standalone=\"no\"?>\n<!DOCTYPE svg PUBLIC \"-//W3C//DTD SVG 1.1//EN\"\n  \"http://www.w3.org/Graphics/SVG/1.1/DTD/svg11.dtd\">\n<svg xmlns:xlink=\"http://www.w3.org/1999/xlink\" width=\"383.325pt\" height=\"291.208125pt\" viewBox=\"0 0 383.325 291.208125\" xmlns=\"http://www.w3.org/2000/svg\" version=\"1.1\">\n <metadata>\n  <rdf:RDF xmlns:dc=\"http://purl.org/dc/elements/1.1/\" xmlns:cc=\"http://creativecommons.org/ns#\" xmlns:rdf=\"http://www.w3.org/1999/02/22-rdf-syntax-ns#\">\n   <cc:Work>\n    <dc:type rdf:resource=\"http://purl.org/dc/dcmitype/StillImage\"/>\n    <dc:date>2024-03-28T16:01:04.546783</dc:date>\n    <dc:format>image/svg+xml</dc:format>\n    <dc:creator>\n     <cc:Agent>\n      <dc:title>Matplotlib v3.7.2, https://matplotlib.org/</dc:title>\n     </cc:Agent>\n    </dc:creator>\n   </cc:Work>\n  </rdf:RDF>\n </metadata>\n <defs>\n  <style type=\"text/css\">*{stroke-linejoin: round; stroke-linecap: butt}</style>\n </defs>\n <g id=\"figure_1\">\n  <g id=\"patch_1\">\n   <path d=\"M 0 291.208125 \nL 383.325 291.208125 \nL 383.325 0 \nL 0 0 \nz\n\" style=\"fill: #ffffff\"/>\n  </g>\n  <g id=\"axes_1\">\n   <g id=\"patch_2\">\n    <path d=\"M 41.325 256.68 \nL 376.125 256.68 \nL 376.125 7.2 \nL 41.325 7.2 \nz\n\" style=\"fill: #ffffff\"/>\n   </g>\n   <g id=\"matplotlib.axis_1\">\n    <g id=\"xtick_1\">\n     <g id=\"line2d_1\">\n      <defs>\n       <path id=\"m7fe37b6c56\" d=\"M 0 0 \nL 0 3.5 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#m7fe37b6c56\" x=\"56.543182\" y=\"256.68\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_1\">\n      <!-- 0 -->\n      <g transform=\"translate(54.043182 270.555) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"SimHei-30\" d=\"M 225 2537 \nQ 250 3200 412 3587 \nQ 575 3975 875 4225 \nQ 1175 4475 1612 4475 \nQ 2050 4475 2375 4112 \nQ 2700 3750 2800 3200 \nQ 2900 2650 2862 1937 \nQ 2825 1225 2612 775 \nQ 2400 325 1975 150 \nQ 1550 -25 1125 187 \nQ 700 400 525 750 \nQ 350 1100 275 1487 \nQ 200 1875 225 2537 \nz\nM 750 2687 \nQ 675 2000 800 1462 \nQ 925 925 1212 700 \nQ 1500 475 1800 612 \nQ 2100 750 2237 1162 \nQ 2375 1575 2375 2062 \nQ 2375 2550 2337 2950 \nQ 2300 3350 2112 3675 \nQ 1925 4000 1612 4012 \nQ 1300 4025 1062 3700 \nQ 825 3375 750 2687 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#SimHei-30\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_2\">\n     <g id=\"line2d_2\">\n      <g>\n       <use xlink:href=\"#m7fe37b6c56\" x=\"117.537899\" y=\"256.68\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_2\">\n      <!-- 100 -->\n      <g transform=\"translate(110.037899 270.555) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"SimHei-31\" d=\"M 1400 3600 \nQ 1075 3275 575 2975 \nL 575 3450 \nQ 1200 3875 1600 4450 \nL 1900 4450 \nL 1900 150 \nL 1400 150 \nL 1400 3600 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#SimHei-31\"/>\n       <use xlink:href=\"#SimHei-30\" x=\"50\"/>\n       <use xlink:href=\"#SimHei-30\" x=\"100\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_3\">\n     <g id=\"line2d_3\">\n      <g>\n       <use xlink:href=\"#m7fe37b6c56\" x=\"178.532615\" y=\"256.68\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_3\">\n      <!-- 200 -->\n      <g transform=\"translate(171.032615 270.555) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"SimHei-32\" d=\"M 300 250 \nQ 325 625 650 925 \nQ 975 1225 1475 1862 \nQ 1975 2500 2125 2850 \nQ 2275 3200 2237 3450 \nQ 2200 3700 2000 3862 \nQ 1800 4025 1537 4000 \nQ 1275 3975 1037 3800 \nQ 800 3625 675 3275 \nL 200 3350 \nQ 400 3925 712 4187 \nQ 1025 4450 1450 4475 \nQ 1700 4500 1900 4462 \nQ 2100 4425 2312 4287 \nQ 2525 4150 2662 3875 \nQ 2800 3600 2762 3212 \nQ 2725 2825 2375 2287 \nQ 2025 1750 1025 600 \nL 2825 600 \nL 2825 150 \nL 300 150 \nL 300 250 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#SimHei-32\"/>\n       <use xlink:href=\"#SimHei-30\" x=\"50\"/>\n       <use xlink:href=\"#SimHei-30\" x=\"100\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_4\">\n     <g id=\"line2d_4\">\n      <g>\n       <use xlink:href=\"#m7fe37b6c56\" x=\"239.527332\" y=\"256.68\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_4\">\n      <!-- 300 -->\n      <g transform=\"translate(232.027332 270.555) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"SimHei-33\" d=\"M 250 1225 \nL 700 1300 \nQ 800 975 1025 762 \nQ 1250 550 1587 562 \nQ 1925 575 2125 837 \nQ 2325 1100 2300 1437 \nQ 2275 1775 2037 1962 \nQ 1800 2150 1275 2225 \nL 1275 2550 \nQ 1800 2600 2037 2825 \nQ 2275 3050 2250 3412 \nQ 2225 3775 1925 3937 \nQ 1625 4100 1287 3975 \nQ 950 3850 750 3275 \nL 300 3350 \nQ 450 3800 712 4100 \nQ 975 4400 1425 4450 \nQ 1875 4500 2212 4337 \nQ 2550 4175 2687 3837 \nQ 2825 3500 2725 3100 \nQ 2625 2700 2150 2400 \nQ 2500 2250 2687 1950 \nQ 2875 1650 2812 1162 \nQ 2750 675 2375 375 \nQ 2000 75 1525 87 \nQ 1050 100 700 387 \nQ 350 675 250 1225 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#SimHei-33\"/>\n       <use xlink:href=\"#SimHei-30\" x=\"50\"/>\n       <use xlink:href=\"#SimHei-30\" x=\"100\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_5\">\n     <g id=\"line2d_5\">\n      <g>\n       <use xlink:href=\"#m7fe37b6c56\" x=\"300.522049\" y=\"256.68\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_5\">\n      <!-- 400 -->\n      <g transform=\"translate(293.022049 270.555) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"SimHei-34\" d=\"M 2000 1100 \nL 75 1100 \nL 75 1525 \nL 2100 4450 \nL 2475 4450 \nL 2475 1525 \nL 3075 1525 \nL 3075 1100 \nL 2475 1100 \nL 2475 150 \nL 2000 150 \nL 2000 1100 \nz\nM 2000 1525 \nL 2000 3500 \nL 600 1525 \nL 2000 1525 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#SimHei-34\"/>\n       <use xlink:href=\"#SimHei-30\" x=\"50\"/>\n       <use xlink:href=\"#SimHei-30\" x=\"100\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"xtick_6\">\n     <g id=\"line2d_6\">\n      <g>\n       <use xlink:href=\"#m7fe37b6c56\" x=\"361.516765\" y=\"256.68\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_6\">\n      <!-- 500 -->\n      <g transform=\"translate(354.016765 270.555) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"SimHei-35\" d=\"M 550 1325 \nQ 725 650 1150 575 \nQ 1575 500 1837 662 \nQ 2100 825 2212 1087 \nQ 2325 1350 2312 1675 \nQ 2300 2000 2137 2225 \nQ 1975 2450 1725 2525 \nQ 1475 2600 1162 2525 \nQ 850 2450 650 2175 \nL 225 2225 \nQ 275 2375 700 4375 \nL 2675 4375 \nL 2675 3925 \nL 1075 3925 \nQ 950 3250 825 2850 \nQ 1200 3025 1525 3012 \nQ 1850 3000 2150 2862 \nQ 2450 2725 2587 2487 \nQ 2725 2250 2787 2012 \nQ 2850 1775 2837 1500 \nQ 2825 1225 2725 937 \nQ 2625 650 2425 462 \nQ 2225 275 1937 162 \nQ 1650 50 1275 75 \nQ 900 100 562 350 \nQ 225 600 100 1200 \nL 550 1325 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#SimHei-35\"/>\n       <use xlink:href=\"#SimHei-30\" x=\"50\"/>\n       <use xlink:href=\"#SimHei-30\" x=\"100\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_7\">\n     <!-- Groups of experiments -->\n     <g transform=\"translate(156.225 282.758125) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"SimHei-47\" d=\"M 2850 75 \nL 2425 75 \nL 2350 425 \nQ 2250 275 2037 175 \nQ 1825 75 1575 75 \nQ 1050 75 637 562 \nQ 225 1050 225 2125 \nQ 225 3300 600 3875 \nQ 975 4450 1625 4450 \nQ 2200 4450 2525 4025 \nQ 2850 3600 2850 2925 \nL 2300 2925 \nQ 2300 3450 2125 3712 \nQ 1950 3975 1625 3975 \nQ 1225 3975 1025 3562 \nQ 825 3150 825 2175 \nQ 825 1250 1075 900 \nQ 1325 550 1650 550 \nQ 1975 550 2162 787 \nQ 2350 1025 2350 1525 \nL 2350 1800 \nL 1575 1800 \nL 1575 2275 \nL 2850 2275 \nL 2850 75 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-72\" d=\"M 2500 2425 \nQ 2025 2500 1700 2287 \nQ 1375 2075 1150 1550 \nL 1150 125 \nL 650 125 \nL 650 2925 \nL 1150 2925 \nL 1150 2200 \nQ 1375 2600 1712 2787 \nQ 2050 2975 2500 2975 \nL 2500 2425 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-6f\" d=\"M 2925 1525 \nQ 2925 875 2525 475 \nQ 2125 75 1575 75 \nQ 1025 75 625 475 \nQ 225 875 225 1525 \nQ 225 2175 625 2575 \nQ 1025 2975 1575 2975 \nQ 2125 2975 2525 2575 \nQ 2925 2175 2925 1525 \nz\nM 2375 1525 \nQ 2375 2025 2125 2275 \nQ 1875 2525 1575 2525 \nQ 1275 2525 1025 2275 \nQ 775 2025 775 1525 \nQ 775 1025 1025 775 \nQ 1275 525 1575 525 \nQ 1875 525 2125 775 \nQ 2375 1025 2375 1525 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-75\" d=\"M 2800 125 \nL 2300 125 \nL 2300 650 \nQ 2100 375 1862 225 \nQ 1625 75 1250 75 \nQ 800 75 575 325 \nQ 350 575 350 950 \nL 350 2925 \nL 850 2925 \nL 850 1125 \nQ 850 825 1000 650 \nQ 1150 475 1400 475 \nQ 1725 475 2012 812 \nQ 2300 1150 2300 1650 \nL 2300 2925 \nL 2800 2925 \nL 2800 125 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-70\" d=\"M 2825 1525 \nQ 2825 800 2475 425 \nQ 2125 50 1625 50 \nQ 1350 50 1150 162 \nQ 950 275 800 500 \nL 800 -800 \nL 300 -800 \nL 300 2925 \nL 800 2925 \nL 800 2550 \nQ 950 2775 1150 2875 \nQ 1350 2975 1625 2975 \nQ 2125 2975 2475 2612 \nQ 2825 2250 2825 1525 \nz\nM 2275 1525 \nQ 2275 2000 2087 2262 \nQ 1900 2525 1525 2525 \nQ 1225 2525 1012 2262 \nQ 800 2000 800 1525 \nQ 800 1050 1012 775 \nQ 1225 500 1525 500 \nQ 1900 500 2087 775 \nQ 2275 1050 2275 1525 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-73\" d=\"M 2750 900 \nQ 2750 500 2437 287 \nQ 2125 75 1650 75 \nQ 1050 75 725 312 \nQ 400 550 400 1000 \nL 900 1000 \nQ 900 700 1112 600 \nQ 1325 500 1625 500 \nQ 1925 500 2075 612 \nQ 2225 725 2225 900 \nQ 2225 1025 2100 1150 \nQ 1975 1275 1475 1350 \nQ 900 1425 687 1637 \nQ 475 1850 475 2200 \nQ 475 2500 762 2737 \nQ 1050 2975 1600 2975 \nQ 2100 2975 2387 2750 \nQ 2675 2525 2675 2150 \nL 2175 2150 \nQ 2175 2375 2012 2462 \nQ 1850 2550 1600 2550 \nQ 1275 2550 1137 2437 \nQ 1000 2325 1000 2175 \nQ 1000 2000 1125 1900 \nQ 1250 1800 1650 1750 \nQ 2300 1650 2525 1437 \nQ 2750 1225 2750 900 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-20\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-66\" d=\"M 2850 3825 \nQ 2725 3900 2550 3950 \nQ 2375 4000 2100 4000 \nQ 1825 4000 1725 3862 \nQ 1625 3725 1625 3525 \nL 1625 2925 \nL 2650 2925 \nL 2650 2525 \nL 1625 2525 \nL 1625 125 \nL 1125 125 \nL 1125 2525 \nL 275 2525 \nL 275 2925 \nL 1125 2925 \nL 1125 3500 \nQ 1125 3950 1400 4200 \nQ 1675 4450 2125 4450 \nQ 2400 4450 2562 4412 \nQ 2725 4375 2850 4325 \nL 2850 3825 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-65\" d=\"M 2850 1075 \nQ 2800 625 2450 350 \nQ 2100 75 1625 75 \nQ 1025 75 637 462 \nQ 250 850 250 1525 \nQ 250 2200 637 2587 \nQ 1025 2975 1625 2975 \nQ 2150 2975 2487 2637 \nQ 2825 2300 2825 1525 \nL 800 1525 \nQ 800 975 1037 750 \nQ 1275 525 1625 525 \nQ 1900 525 2075 662 \nQ 2250 800 2300 1075 \nL 2850 1075 \nz\nM 2250 1925 \nQ 2200 2275 2025 2412 \nQ 1850 2550 1575 2550 \nQ 1325 2550 1125 2412 \nQ 925 2275 825 1925 \nL 2250 1925 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-78\" d=\"M 2875 125 \nL 2275 125 \nL 1550 1200 \nL 825 125 \nL 225 125 \nL 1250 1550 \nL 300 2925 \nL 900 2925 \nL 1550 1875 \nL 2200 2925 \nL 2800 2925 \nL 1850 1550 \nL 2875 125 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-69\" d=\"M 1800 3725 \nL 1300 3725 \nL 1300 4375 \nL 1800 4375 \nL 1800 3725 \nz\nM 1800 125 \nL 1300 125 \nL 1300 2925 \nL 1800 2925 \nL 1800 125 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-6d\" d=\"M 3050 125 \nL 2550 125 \nL 2550 2150 \nQ 2550 2300 2500 2400 \nQ 2450 2500 2300 2500 \nQ 2125 2500 1975 2312 \nQ 1825 2125 1825 1825 \nL 1825 125 \nL 1325 125 \nL 1325 2150 \nQ 1325 2300 1275 2400 \nQ 1225 2500 1075 2500 \nQ 900 2500 750 2312 \nQ 600 2125 600 1825 \nL 600 125 \nL 100 125 \nL 100 2925 \nL 600 2925 \nL 600 2550 \nQ 725 2750 900 2862 \nQ 1075 2975 1275 2975 \nQ 1475 2975 1612 2862 \nQ 1750 2750 1800 2550 \nQ 1925 2750 2087 2862 \nQ 2250 2975 2450 2975 \nQ 2750 2975 2900 2812 \nQ 3050 2650 3050 2350 \nL 3050 125 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-6e\" d=\"M 2800 125 \nL 2300 125 \nL 2300 1925 \nQ 2300 2225 2150 2400 \nQ 2000 2575 1750 2575 \nQ 1425 2575 1137 2237 \nQ 850 1900 850 1400 \nL 850 125 \nL 350 125 \nL 350 2925 \nL 850 2925 \nL 850 2400 \nQ 1050 2675 1287 2825 \nQ 1525 2975 1900 2975 \nQ 2350 2975 2575 2725 \nQ 2800 2475 2800 2100 \nL 2800 125 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-74\" d=\"M 2750 200 \nQ 2625 150 2462 112 \nQ 2300 75 2025 75 \nQ 1575 75 1300 325 \nQ 1025 575 1025 1025 \nL 1025 2525 \nL 175 2525 \nL 175 2925 \nL 1025 2925 \nL 1025 3900 \nL 1525 3900 \nL 1525 2925 \nL 2550 2925 \nL 2550 2525 \nL 1525 2525 \nL 1525 1000 \nQ 1525 800 1625 662 \nQ 1725 525 2000 525 \nQ 2275 525 2450 575 \nQ 2625 625 2750 700 \nL 2750 200 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#SimHei-47\"/>\n      <use xlink:href=\"#SimHei-72\" x=\"50\"/>\n      <use xlink:href=\"#SimHei-6f\" x=\"100\"/>\n      <use xlink:href=\"#SimHei-75\" x=\"150\"/>\n      <use xlink:href=\"#SimHei-70\" x=\"200\"/>\n      <use xlink:href=\"#SimHei-73\" x=\"250\"/>\n      <use xlink:href=\"#SimHei-20\" x=\"300\"/>\n      <use xlink:href=\"#SimHei-6f\" x=\"350\"/>\n      <use xlink:href=\"#SimHei-66\" x=\"400\"/>\n      <use xlink:href=\"#SimHei-20\" x=\"450\"/>\n      <use xlink:href=\"#SimHei-65\" x=\"500\"/>\n      <use xlink:href=\"#SimHei-78\" x=\"550\"/>\n      <use xlink:href=\"#SimHei-70\" x=\"600\"/>\n      <use xlink:href=\"#SimHei-65\" x=\"650\"/>\n      <use xlink:href=\"#SimHei-72\" x=\"700\"/>\n      <use xlink:href=\"#SimHei-69\" x=\"750\"/>\n      <use xlink:href=\"#SimHei-6d\" x=\"800\"/>\n      <use xlink:href=\"#SimHei-65\" x=\"850\"/>\n      <use xlink:href=\"#SimHei-6e\" x=\"900\"/>\n      <use xlink:href=\"#SimHei-74\" x=\"950\"/>\n      <use xlink:href=\"#SimHei-73\" x=\"1000\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"matplotlib.axis_2\">\n    <g id=\"ytick_1\">\n     <g id=\"line2d_7\">\n      <defs>\n       <path id=\"md0f0d08d01\" d=\"M 0 0 \nL -3.5 0 \n\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </defs>\n      <g>\n       <use xlink:href=\"#md0f0d08d01\" x=\"41.325\" y=\"245.34\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_8\">\n      <!-- 0.0 -->\n      <g transform=\"translate(19.325 248.7775) scale(0.1 -0.1)\">\n       <defs>\n        <path id=\"SimHei-2e\" d=\"M 1075 125 \nL 500 125 \nL 500 675 \nL 1075 675 \nL 1075 125 \nz\n\" transform=\"scale(0.015625)\"/>\n       </defs>\n       <use xlink:href=\"#SimHei-30\"/>\n       <use xlink:href=\"#SimHei-2e\" x=\"50\"/>\n       <use xlink:href=\"#SimHei-30\" x=\"100\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_2\">\n     <g id=\"line2d_8\">\n      <g>\n       <use xlink:href=\"#md0f0d08d01\" x=\"41.325\" y=\"199.98\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_9\">\n      <!-- 0.1 -->\n      <g transform=\"translate(19.325 203.4175) scale(0.1 -0.1)\">\n       <use xlink:href=\"#SimHei-30\"/>\n       <use xlink:href=\"#SimHei-2e\" x=\"50\"/>\n       <use xlink:href=\"#SimHei-31\" x=\"100\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_3\">\n     <g id=\"line2d_9\">\n      <g>\n       <use xlink:href=\"#md0f0d08d01\" x=\"41.325\" y=\"154.62\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_10\">\n      <!-- 0.2 -->\n      <g transform=\"translate(19.325 158.0575) scale(0.1 -0.1)\">\n       <use xlink:href=\"#SimHei-30\"/>\n       <use xlink:href=\"#SimHei-2e\" x=\"50\"/>\n       <use xlink:href=\"#SimHei-32\" x=\"100\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_4\">\n     <g id=\"line2d_10\">\n      <g>\n       <use xlink:href=\"#md0f0d08d01\" x=\"41.325\" y=\"109.26\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_11\">\n      <!-- 0.3 -->\n      <g transform=\"translate(19.325 112.6975) scale(0.1 -0.1)\">\n       <use xlink:href=\"#SimHei-30\"/>\n       <use xlink:href=\"#SimHei-2e\" x=\"50\"/>\n       <use xlink:href=\"#SimHei-33\" x=\"100\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_5\">\n     <g id=\"line2d_11\">\n      <g>\n       <use xlink:href=\"#md0f0d08d01\" x=\"41.325\" y=\"63.9\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_12\">\n      <!-- 0.4 -->\n      <g transform=\"translate(19.325 67.3375) scale(0.1 -0.1)\">\n       <use xlink:href=\"#SimHei-30\"/>\n       <use xlink:href=\"#SimHei-2e\" x=\"50\"/>\n       <use xlink:href=\"#SimHei-34\" x=\"100\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"ytick_6\">\n     <g id=\"line2d_12\">\n      <g>\n       <use xlink:href=\"#md0f0d08d01\" x=\"41.325\" y=\"18.54\" style=\"stroke: #000000; stroke-width: 0.8\"/>\n      </g>\n     </g>\n     <g id=\"text_13\">\n      <!-- 0.5 -->\n      <g transform=\"translate(19.325 21.9775) scale(0.1 -0.1)\">\n       <use xlink:href=\"#SimHei-30\"/>\n       <use xlink:href=\"#SimHei-2e\" x=\"50\"/>\n       <use xlink:href=\"#SimHei-35\" x=\"100\"/>\n      </g>\n     </g>\n    </g>\n    <g id=\"text_14\">\n     <!-- Estimated probability -->\n     <g transform=\"translate(14.075 184.44) rotate(-90) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"SimHei-45\" d=\"M 2900 125 \nL 350 125 \nL 350 4400 \nL 2775 4400 \nL 2775 3925 \nL 925 3925 \nL 925 2600 \nL 2625 2600 \nL 2625 2125 \nL 925 2125 \nL 925 600 \nL 2900 600 \nL 2900 125 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-61\" d=\"M 2875 125 \nL 2275 125 \nQ 2225 175 2200 262 \nQ 2175 350 2175 475 \nQ 2000 275 1750 175 \nQ 1500 75 1225 75 \nQ 825 75 550 275 \nQ 275 475 275 850 \nQ 275 1225 525 1450 \nQ 775 1675 1300 1750 \nQ 1650 1800 1912 1875 \nQ 2175 1950 2175 2075 \nQ 2175 2225 2062 2375 \nQ 1950 2525 1575 2525 \nQ 1275 2525 1137 2412 \nQ 1000 2300 950 2100 \nL 400 2100 \nQ 450 2500 762 2737 \nQ 1075 2975 1575 2975 \nQ 2125 2975 2400 2725 \nQ 2675 2475 2675 2025 \nL 2675 650 \nQ 2675 500 2725 375 \nQ 2775 250 2875 125 \nz\nM 2175 1050 \nL 2175 1550 \nQ 2025 1500 1887 1462 \nQ 1750 1425 1425 1375 \nQ 1050 1325 937 1200 \nQ 825 1075 825 900 \nQ 825 750 937 637 \nQ 1050 525 1275 525 \nQ 1500 525 1762 650 \nQ 2025 775 2175 1050 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-64\" d=\"M 2750 125 \nL 2250 125 \nL 2250 500 \nQ 2100 275 1900 175 \nQ 1700 75 1425 75 \nQ 925 75 575 437 \nQ 225 800 225 1525 \nQ 225 2250 575 2625 \nQ 925 3000 1425 3000 \nQ 1700 3000 1900 2887 \nQ 2100 2775 2250 2550 \nL 2250 4400 \nL 2750 4400 \nL 2750 125 \nz\nM 2250 1525 \nQ 2250 2000 2037 2275 \nQ 1825 2550 1525 2550 \nQ 1150 2550 962 2275 \nQ 775 2000 775 1525 \nQ 775 1050 962 787 \nQ 1150 525 1525 525 \nQ 1825 525 2037 787 \nQ 2250 1050 2250 1525 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-62\" d=\"M 2825 1525 \nQ 2825 800 2475 437 \nQ 2125 75 1625 75 \nQ 1350 75 1150 175 \nQ 950 275 800 500 \nL 800 125 \nL 300 125 \nL 300 4400 \nL 800 4400 \nL 800 2550 \nQ 950 2775 1150 2887 \nQ 1350 3000 1625 3000 \nQ 2125 3000 2475 2625 \nQ 2825 2250 2825 1525 \nz\nM 2275 1525 \nQ 2275 2000 2087 2275 \nQ 1900 2550 1525 2550 \nQ 1225 2550 1012 2275 \nQ 800 2000 800 1525 \nQ 800 1050 1012 787 \nQ 1225 525 1525 525 \nQ 1900 525 2087 787 \nQ 2275 1050 2275 1525 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-6c\" d=\"M 1825 125 \nL 1325 125 \nL 1325 4400 \nL 1825 4400 \nL 1825 125 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-79\" d=\"M 2900 2925 \nL 1750 -100 \nQ 1650 -450 1450 -625 \nQ 1250 -800 950 -800 \nQ 825 -800 712 -787 \nQ 600 -775 500 -725 \nL 500 -225 \nQ 600 -275 700 -300 \nQ 800 -325 875 -325 \nQ 1075 -325 1150 -262 \nQ 1225 -200 1300 25 \nL 200 2925 \nL 750 2925 \nL 1550 725 \nL 1575 725 \nL 2350 2925 \nL 2900 2925 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#SimHei-45\"/>\n      <use xlink:href=\"#SimHei-73\" x=\"50\"/>\n      <use xlink:href=\"#SimHei-74\" x=\"100\"/>\n      <use xlink:href=\"#SimHei-69\" x=\"150\"/>\n      <use xlink:href=\"#SimHei-6d\" x=\"200\"/>\n      <use xlink:href=\"#SimHei-61\" x=\"250\"/>\n      <use xlink:href=\"#SimHei-74\" x=\"300\"/>\n      <use xlink:href=\"#SimHei-65\" x=\"350\"/>\n      <use xlink:href=\"#SimHei-64\" x=\"400\"/>\n      <use xlink:href=\"#SimHei-20\" x=\"450\"/>\n      <use xlink:href=\"#SimHei-70\" x=\"500\"/>\n      <use xlink:href=\"#SimHei-72\" x=\"550\"/>\n      <use xlink:href=\"#SimHei-6f\" x=\"600\"/>\n      <use xlink:href=\"#SimHei-62\" x=\"650\"/>\n      <use xlink:href=\"#SimHei-61\" x=\"700\"/>\n      <use xlink:href=\"#SimHei-62\" x=\"750\"/>\n      <use xlink:href=\"#SimHei-69\" x=\"800\"/>\n      <use xlink:href=\"#SimHei-6c\" x=\"850\"/>\n      <use xlink:href=\"#SimHei-69\" x=\"900\"/>\n      <use xlink:href=\"#SimHei-74\" x=\"950\"/>\n      <use xlink:href=\"#SimHei-79\" x=\"1000\"/>\n     </g>\n    </g>\n   </g>\n   <g id=\"line2d_13\">\n    <path d=\"M 56.543182 18.54 \nL 57.153129 131.94 \nL 57.763076 154.619999 \nL 58.373023 154.619999 \nL 58.98297 145.548001 \nL 59.592918 154.619999 \nL 62.032706 154.619999 \nL 62.642653 158.743638 \nL 63.252601 154.619999 \nL 63.862548 147.641538 \nL 64.472495 151.379999 \nL 65.692389 163.124997 \nL 66.302336 165.292939 \nL 66.912284 164.699998 \nL 67.522231 161.782106 \nL 68.742125 169.739998 \nL 69.352072 173.176365 \nL 70.571967 171.630003 \nL 71.181914 172.764002 \nL 71.791861 175.555382 \nL 72.401808 176.460002 \nL 73.011755 172.440001 \nL 73.621702 173.389657 \nL 74.841597 172.178712 \nL 75.451544 174.465 \nL 76.061491 175.238181 \nL 76.671438 171.963527 \nL 77.281385 172.764002 \nL 77.891333 174.779997 \nL 79.111227 173.71895 \nL 79.721174 169.739998 \nL 81.551016 171.899998 \nL 82.160963 170.443255 \nL 83.990804 172.369564 \nL 84.600752 171.991916 \nL 85.210699 168.794999 \nL 86.430593 168.227999 \nL 87.04054 167.071763 \nL 88.260435 168.313584 \nL 88.870382 168.06 \nL 89.480329 169.465089 \nL 90.700223 168.944207 \nL 91.31017 170.26138 \nL 92.530065 171.252003 \nL 93.140012 170.979345 \nL 94.359906 171.899998 \nL 94.969853 171.630003 \nL 95.579801 172.764002 \nL 96.189748 173.176365 \nL 96.799695 171.545371 \nL 98.629536 168.876001 \nL 99.239484 168.675213 \nL 99.849431 169.110003 \nL 100.459378 168.911506 \nL 101.069325 168.105408 \nL 102.289219 167.750525 \nL 102.899167 166.401821 \nL 104.119061 164.95519 \nL 104.729008 164.826002 \nL 105.948902 163.470729 \nL 107.168797 164.339998 \nL 108.388691 164.113951 \nL 108.998638 164.526206 \nL 109.608585 164.413639 \nL 110.82848 166.212003 \nL 111.438427 166.583075 \nL 112.048374 166.453042 \nL 112.658321 167.30129 \nL 113.268268 167.648935 \nL 113.878216 168.46674 \nL 114.488163 168.794999 \nL 115.09811 168.181239 \nL 115.708057 168.968574 \nL 118.147846 170.184704 \nL 118.757793 170.033589 \nL 119.36774 170.757692 \nL 119.977687 170.172003 \nL 121.197582 169.881312 \nL 121.807529 169.319997 \nL 122.417476 168.352841 \nL 123.027423 169.052726 \nL 123.63737 169.331352 \nL 124.857265 169.070975 \nL 125.467212 168.148424 \nL 126.077159 168.425218 \nL 126.687106 167.915171 \nL 127.297053 167.801536 \nL 127.907 168.074235 \nL 128.516948 167.579998 \nL 129.126895 167.85 \nL 129.736842 167.365786 \nL 130.346789 166.517707 \nL 130.956736 167.158537 \nL 132.176631 166.957918 \nL 132.786578 167.579998 \nL 133.396525 167.120787 \nL 134.006472 167.3775 \nL 134.616419 167.981857 \nL 135.836314 168.470383 \nL 136.446261 168.365454 \nL 137.056208 167.921052 \nL 137.666155 167.821794 \nL 138.276102 167.387997 \nL 138.886049 167.961174 \nL 140.105944 167.767828 \nL 140.715891 167.346908 \nL 142.545732 167.078028 \nL 143.15568 167.625311 \nL 143.765627 167.535002 \nL 144.375574 167.758758 \nL 145.595468 167.579998 \nL 146.205415 167.798921 \nL 146.815363 168.319329 \nL 147.42531 167.925601 \nL 148.645204 167.750525 \nL 149.255151 168.257645 \nL 150.475046 168.081677 \nL 151.69494 169.065859 \nL 152.304887 169.261516 \nL 152.914834 169.739998 \nL 153.524781 169.645498 \nL 154.134729 169.833916 \nL 154.744676 169.180001 \nL 155.354623 169.36896 \nL 155.96457 169.832193 \nL 157.184464 169.648918 \nL 157.794412 169.830537 \nL 158.404359 168.659998 \nL 159.014306 168.040121 \nL 159.624253 168.227999 \nL 160.2342 168.148424 \nL 160.844147 168.597212 \nL 161.454095 168.778614 \nL 162.064042 168.697241 \nL 162.673989 168.098399 \nL 163.283936 168.279545 \nL 163.893883 167.946101 \nL 165.113778 168.810835 \nL 166.333672 168.654036 \nL 168.163513 169.904347 \nL 168.773461 169.82173 \nL 169.993355 170.144277 \nL 170.603302 170.0617 \nL 171.213249 170.459998 \nL 171.823196 170.37663 \nL 172.433144 170.056651 \nL 173.043091 170.212497 \nL 173.653038 169.896682 \nL 174.262985 170.051751 \nL 174.872932 170.437848 \nL 175.482879 170.357143 \nL 176.702774 170.656365 \nL 177.312721 171.031661 \nL 177.922668 170.949598 \nL 178.532615 171.319703 \nL 180.362457 171.741177 \nL 180.972404 172.100197 \nL 181.582351 172.015343 \nL 182.192298 172.150432 \nL 182.802245 171.848074 \nL 184.02214 172.547999 \nL 184.632087 172.463036 \nL 185.242034 172.806794 \nL 185.851981 172.508451 \nL 186.461928 172.636821 \nL 187.071876 172.974975 \nL 187.681823 172.679999 \nL 188.29177 172.596773 \nL 188.901717 172.306237 \nL 189.511664 172.639728 \nL 190.731559 172.887147 \nL 191.341506 172.804868 \nL 191.951453 172.926729 \nL 192.5614 172.642499 \nL 193.171347 172.562403 \nL 193.781294 172.884423 \nL 194.391242 172.803962 \nL 195.001189 172.92316 \nL 195.611136 172.843233 \nL 198.050925 173.309101 \nL 198.660872 173.035382 \nL 199.270819 172.957023 \nL 199.880766 173.071523 \nL 200.490713 172.993671 \nL 201.710608 173.219495 \nL 202.320555 172.953001 \nL 202.930502 173.253359 \nL 203.540449 172.988926 \nL 204.150396 172.540003 \nL 204.760343 172.466558 \nL 205.370291 172.023427 \nL 205.980238 172.321465 \nL 206.590185 172.433445 \nL 207.200132 172.727421 \nL 207.810079 172.836865 \nL 208.420026 172.582559 \nL 209.639921 172.800001 \nL 210.249868 172.728144 \nL 212.689657 173.85829 \nL 213.299604 173.783723 \nL 213.909551 173.184327 \nL 214.519498 172.764002 \nL 215.129445 172.520692 \nL 215.739392 172.798629 \nL 216.34934 172.901976 \nL 216.959287 172.832729 \nL 218.179181 173.036842 \nL 218.789128 173.307641 \nL 219.399075 173.407163 \nL 221.228917 172.697045 \nL 221.838864 172.797351 \nL 222.448811 172.730767 \nL 223.668706 172.928946 \nL 224.278653 172.533913 \nL 224.8886 172.305487 \nL 225.498547 172.405036 \nL 226.108494 172.34129 \nL 227.328389 171.892312 \nL 227.938336 171.831061 \nL 229.15823 172.029294 \nL 230.378124 171.273146 \nL 232.207966 171.10028 \nL 232.817913 170.887035 \nL 233.42786 170.98701 \nL 234.647755 170.875288 \nL 235.257702 170.511428 \nL 235.867649 170.303793 \nL 236.477596 170.250808 \nL 237.087543 170.045451 \nL 237.69749 170.145906 \nL 238.917385 170.042403 \nL 239.527332 170.141857 \nL 240.137279 170.390858 \nL 240.747226 170.189111 \nL 241.357173 170.137896 \nL 241.967121 170.384457 \nL 242.577068 170.036468 \nL 243.796962 169.936365 \nL 244.406909 170.033589 \nL 245.626804 169.934472 \nL 246.236751 170.03077 \nL 246.846698 169.836613 \nL 247.456645 169.78815 \nL 248.066592 169.884002 \nL 249.286487 169.787697 \nL 249.896434 170.025282 \nL 250.506381 169.976988 \nL 251.726275 170.44654 \nL 253.556117 170.720003 \nL 254.166064 170.949598 \nL 254.776011 171.03865 \nL 255.385958 171.265873 \nL 255.995905 171.076832 \nL 256.605853 170.613194 \nL 257.2158 170.289815 \nL 257.825747 170.105439 \nL 258.435694 170.195424 \nL 259.045641 170.14865 \nL 259.655588 170.237966 \nL 260.265536 170.055941 \nL 260.875483 170.145 \nL 262.095377 170.053136 \nL 262.705324 170.275222 \nL 263.315271 170.362591 \nL 263.925219 170.050379 \nL 264.535166 170.137896 \nL 265.145113 170.092651 \nL 265.75506 169.915817 \nL 266.365007 170.134436 \nL 266.974954 170.089595 \nL 267.584902 169.914296 \nL 268.194849 169.870342 \nL 268.804796 169.956622 \nL 269.414743 169.912803 \nL 270.02469 169.998462 \nL 270.634637 170.212497 \nL 271.854532 170.124405 \nL 272.464479 170.336285 \nL 273.074426 170.164717 \nL 274.29432 170.077875 \nL 274.904268 169.782114 \nL 276.124162 169.698118 \nL 276.734109 169.907071 \nL 277.344056 169.615041 \nL 277.954003 169.573844 \nL 278.563951 169.657151 \nL 279.783845 169.575203 \nL 280.393792 169.657827 \nL 283.443528 169.456248 \nL 284.053475 169.295292 \nL 284.663422 169.014239 \nL 285.273369 168.975955 \nL 285.883317 169.178514 \nL 286.493264 169.019998 \nL 287.713158 169.182948 \nL 289.543 169.06888 \nL 291.372841 169.309121 \nL 291.982788 169.153951 \nL 292.592735 169.233405 \nL 293.202683 169.195838 \nL 294.422577 169.353299 \nL 295.032524 169.315711 \nL 299.912101 170.042403 \nL 301.131996 170.304179 \nL 301.741943 170.152706 \nL 302.961837 170.412001 \nL 303.571784 170.149657 \nL 304.791679 170.295885 \nL 309.671256 169.994426 \nL 310.89115 170.029378 \nL 313.330939 169.883319 \nL 314.550833 170.132266 \nL 315.160781 170.202494 \nL 316.380675 169.81082 \nL 317.600569 170.057205 \nL 319.430411 170.265003 \nL 320.040358 170.124108 \nL 320.650305 170.297419 \nL 321.870199 170.329539 \nL 323.090094 170.361368 \nL 323.700041 170.22219 \nL 326.749777 170.557296 \nL 327.969671 170.384126 \nL 328.579618 170.551814 \nL 329.189565 170.516247 \nL 329.799513 170.177775 \nL 332.239301 170.340793 \nL 332.849248 170.206259 \nL 333.459196 170.371385 \nL 334.67909 170.401707 \nL 335.898984 170.629409 \nL 337.728826 170.819998 \nL 338.338773 170.687038 \nL 338.94872 170.750175 \nL 339.558667 170.617932 \nL 343.21835 170.895667 \nL 343.828298 170.765086 \nL 344.438245 170.826851 \nL 345.658139 170.281137 \nL 349.927769 170.053691 \nL 351.757611 170.425857 \nL 352.367558 170.113334 \nL 353.587452 170.049838 \nL 354.197399 170.203805 \nL 357.247135 170.137896 \nL 359.686924 170.286503 \nL 360.906818 170.133118 \nL 360.906818 170.133118 \n\" clip-path=\"url(#p0d792dc116)\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n   </g>\n   <g id=\"line2d_14\">\n    <path d=\"M 56.543182 199.979999 \nL 57.153129 154.619999 \nL 57.763076 154.619999 \nL 58.373023 165.960001 \nL 58.98297 163.691997 \nL 59.592918 162.179998 \nL 60.202865 174.059997 \nL 60.812812 171.630003 \nL 61.422759 179.819997 \nL 62.032706 163.691997 \nL 63.252601 169.739998 \nL 63.862548 172.066151 \nL 64.472495 164.339998 \nL 65.082442 163.691997 \nL 66.302336 157.288234 \nL 66.912284 154.619999 \nL 68.132178 159.156001 \nL 68.742125 156.779999 \nL 69.352072 158.743638 \nL 69.962019 162.508696 \nL 70.571967 164.070003 \nL 71.181914 163.691997 \nL 72.401808 166.380002 \nL 73.011755 165.960001 \nL 74.23165 168.227999 \nL 75.451544 173.047501 \nL 76.061491 171.114549 \nL 76.671438 170.629409 \nL 78.50128 165.653514 \nL 79.721174 169.739998 \nL 80.331121 170.495997 \nL 80.941069 167.896097 \nL 81.551016 168.659998 \nL 82.160963 170.443255 \nL 82.77091 171.114549 \nL 83.380857 172.764002 \nL 83.990804 173.355652 \nL 85.210699 176.354998 \nL 85.820646 174.985713 \nL 87.04054 175.96588 \nL 87.650487 174.683078 \nL 88.870382 177.299997 \nL 89.480329 176.887634 \nL 90.090276 177.299997 \nL 90.700223 175.310524 \nL 91.31017 175.735865 \nL 92.530065 172.008002 \nL 93.140012 172.466558 \nL 93.749959 171.4471 \nL 94.359906 171.179998 \nL 94.969853 171.630003 \nL 95.579801 171.368308 \nL 96.189748 171.801821 \nL 96.799695 172.899401 \nL 98.629536 174.059997 \nL 99.239484 173.147321 \nL 100.459378 173.882468 \nL 101.069325 174.84811 \nL 101.679272 175.183202 \nL 102.289219 174.315791 \nL 102.899167 174.059997 \nL 104.119061 174.716204 \nL 104.729008 173.898001 \nL 105.338955 174.779997 \nL 106.55885 174.294216 \nL 107.168797 174.600001 \nL 107.778744 175.432237 \nL 108.388691 174.135349 \nL 108.998638 172.346893 \nL 110.218533 171.948542 \nL 112.048374 169.904347 \nL 112.658321 169.739998 \nL 113.268268 170.0617 \nL 113.878216 168.944207 \nL 114.488163 168.322499 \nL 115.09811 168.648865 \nL 115.708057 167.579998 \nL 116.318004 166.074542 \nL 116.927951 165.5064 \nL 117.537899 165.847725 \nL 118.147846 165.292939 \nL 118.757793 166.070095 \nL 119.36774 165.523846 \nL 121.807529 166.799997 \nL 122.417476 167.520551 \nL 124.247317 167.175002 \nL 125.467212 168.546315 \nL 126.687106 169.088279 \nL 127.297053 168.576921 \nL 127.907 168.458642 \nL 128.516948 167.961174 \nL 129.126895 167.85 \nL 130.346789 168.376721 \nL 130.956736 167.896097 \nL 131.566683 167.789032 \nL 132.176631 168.046563 \nL 132.786578 166.139998 \nL 133.396525 166.763619 \nL 134.006472 167.023124 \nL 134.616419 167.630232 \nL 135.226366 167.879077 \nL 135.836314 167.4316 \nL 136.446261 166.647273 \nL 137.056208 166.897897 \nL 137.666155 166.806269 \nL 138.276102 167.051999 \nL 138.886049 166.960588 \nL 139.495997 167.201606 \nL 140.105944 167.110432 \nL 140.715891 166.694243 \nL 141.325838 166.932003 \nL 141.935785 167.488087 \nL 142.545732 167.716898 \nL 143.15568 168.25972 \nL 143.765627 168.164997 \nL 144.375574 167.133102 \nL 144.985521 167.047396 \nL 145.595468 167.579998 \nL 146.815363 168.014896 \nL 147.42531 167.623202 \nL 149.865098 167.285454 \nL 150.475046 166.911097 \nL 151.084993 166.832306 \nL 151.69494 167.332356 \nL 152.304887 167.251901 \nL 152.914834 166.88717 \nL 153.524781 167.094 \nL 154.134729 167.01652 \nL 154.744676 167.219998 \nL 155.96457 167.066342 \nL 157.184464 166.369877 \nL 157.794412 166.571138 \nL 158.404359 167.040001 \nL 159.014306 166.698109 \nL 159.624253 166.893882 \nL 160.2342 167.352633 \nL 160.844147 167.014884 \nL 162.064042 167.915171 \nL 162.673989 167.839198 \nL 163.283936 167.506364 \nL 164.50383 167.871237 \nL 165.113778 167.797204 \nL 165.723725 167.975997 \nL 166.333672 167.902207 \nL 167.553566 168.252785 \nL 168.773461 167.615024 \nL 169.383408 166.813549 \nL 173.653038 168.016478 \nL 174.262985 167.947419 \nL 174.872932 167.646461 \nL 175.482879 167.579998 \nL 176.092827 167.97472 \nL 176.702774 167.90727 \nL 177.312721 167.384624 \nL 177.922668 167.547601 \nL 178.532615 166.806269 \nL 179.142562 166.745944 \nL 179.75251 166.909658 \nL 180.362457 166.849413 \nL 180.972404 166.568489 \nL 181.582351 166.730682 \nL 182.192298 167.110432 \nL 182.802245 167.268461 \nL 183.412193 166.990909 \nL 184.02214 166.499998 \nL 184.632087 166.873651 \nL 185.242034 166.815847 \nL 185.851981 166.971551 \nL 187.071876 166.856652 \nL 187.681823 167.009997 \nL 188.901717 166.896328 \nL 191.341506 167.492433 \nL 191.951453 167.231299 \nL 192.5614 167.175002 \nL 193.781294 167.465308 \nL 194.391242 167.80837 \nL 195.001189 167.949474 \nL 196.221083 167.833568 \nL 196.83103 167.579998 \nL 198.050925 167.858111 \nL 198.660872 167.801536 \nL 199.880766 168.074235 \nL 201.10066 167.961174 \nL 201.710608 167.525776 \nL 204.760343 168.190817 \nL 205.370291 167.950285 \nL 206.590185 167.842348 \nL 207.200132 167.240323 \nL 208.420026 167.50224 \nL 209.029974 167.450918 \nL 210.249868 167.708064 \nL 210.859815 167.656539 \nL 211.469762 167.783293 \nL 212.079709 167.731876 \nL 212.689657 168.033849 \nL 213.299604 167.981857 \nL 214.519498 167.530156 \nL 215.129445 167.828276 \nL 215.739392 167.950995 \nL 216.34934 167.727834 \nL 216.959287 167.678182 \nL 218.179181 167.921052 \nL 218.789128 167.701345 \nL 219.399075 167.821794 \nL 220.009023 167.772715 \nL 220.61897 168.06 \nL 223.058758 167.201606 \nL 224.8886 167.556604 \nL 226.108494 168.114195 \nL 226.718441 168.227999 \nL 227.328389 168.17957 \nL 227.938336 168.453194 \nL 229.15823 168.355774 \nL 229.768177 167.989265 \nL 230.378124 168.25972 \nL 230.988072 168.212196 \nL 231.598019 168.480001 \nL 232.207966 168.589 \nL 232.817913 168.853655 \nL 233.42786 168.648865 \nL 234.037807 168.756167 \nL 235.257702 169.277144 \nL 235.867649 169.227457 \nL 236.477596 169.331352 \nL 237.69749 169.232614 \nL 238.307438 169.335455 \nL 238.917385 168.832803 \nL 239.527332 168.936279 \nL 240.137279 169.189274 \nL 241.967121 169.492132 \nL 242.577068 169.739998 \nL 243.187015 169.838499 \nL 245.016856 169.691224 \nL 245.626804 169.934472 \nL 246.236751 169.739998 \nL 246.846698 169.69169 \nL 247.456645 169.354779 \nL 248.066592 169.307999 \nL 248.676539 169.548605 \nL 250.506381 169.834795 \nL 251.116328 169.503751 \nL 251.726275 169.316076 \nL 252.94617 169.786812 \nL 255.385958 169.046419 \nL 255.995905 169.14073 \nL 256.605853 169.096593 \nL 257.825747 169.557284 \nL 258.435694 169.648918 \nL 259.045641 169.603787 \nL 259.655588 169.423114 \nL 260.265536 169.378923 \nL 260.875483 169.200001 \nL 262.095377 169.382127 \nL 263.315271 169.028474 \nL 264.535166 168.944207 \nL 265.145113 169.166942 \nL 266.365007 168.819649 \nL 266.974954 168.778614 \nL 267.584902 168.868532 \nL 268.194849 169.088279 \nL 268.804796 169.17679 \nL 269.414743 169.135201 \nL 270.634637 169.56818 \nL 271.244585 169.397335 \nL 273.684373 170.248233 \nL 274.29432 170.331283 \nL 274.904268 170.540222 \nL 276.124162 170.703321 \nL 278.563951 170.527069 \nL 279.173898 170.607544 \nL 280.393792 170.520654 \nL 282.223634 170.758868 \nL 282.833581 170.715481 \nL 284.053475 170.871976 \nL 284.663422 171.07056 \nL 285.273369 170.90617 \nL 286.493264 170.819998 \nL 287.103211 170.896937 \nL 287.713158 170.734738 \nL 288.323105 170.811495 \nL 289.543 170.726944 \nL 290.152947 170.803127 \nL 290.762894 170.761092 \nL 291.372841 170.836787 \nL 291.982788 171.029302 \nL 292.592735 170.870103 \nL 293.202683 170.828332 \nL 293.81263 171.019386 \nL 294.422577 170.977446 \nL 295.032524 171.051432 \nL 295.642471 170.77878 \nL 296.862366 170.696961 \nL 297.472313 170.541817 \nL 298.692207 170.461809 \nL 299.302154 170.535788 \nL 299.912101 170.2692 \nL 300.522049 170.343294 \nL 301.131996 169.965673 \nL 302.35189 169.8897 \nL 302.961837 169.627998 \nL 303.571784 169.591032 \nL 304.791679 169.851179 \nL 307.231467 170.473982 \nL 309.671256 170.648653 \nL 312.720992 170.997007 \nL 313.940886 170.705105 \nL 318.210516 171.287164 \nL 318.820464 171.143248 \nL 320.040358 171.381198 \nL 321.260252 171.408417 \nL 321.870199 171.577984 \nL 323.700041 171.565419 \nL 325.529882 171.655654 \nL 326.13983 171.412418 \nL 326.749777 171.374594 \nL 327.359724 171.133076 \nL 327.969671 171.299459 \nL 333.459196 170.869847 \nL 334.069143 170.635263 \nL 335.898984 170.629409 \nL 337.118879 170.756745 \nL 337.728826 170.525453 \nL 340.168615 170.680941 \nL 341.388509 170.612309 \nL 341.998456 170.771643 \nL 345.658139 170.567624 \nL 346.878033 170.215471 \nL 347.487981 170.182845 \nL 348.097928 169.866266 \nL 349.927769 169.959583 \nL 351.757611 169.958224 \nL 353.587452 170.049838 \nL 354.807347 169.894282 \nL 356.637188 169.709331 \nL 357.857082 169.373455 \nL 359.686924 169.739998 \nL 360.296871 169.709696 \nL 360.906818 169.86096 \nL 360.906818 169.86096 \n\" clip-path=\"url(#p0d792dc116)\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n   </g>\n   <g id=\"line2d_15\">\n    <path d=\"M 56.543182 245.34 \nL 57.153129 245.34 \nL 57.763076 230.219999 \nL 58.373023 222.66 \nL 58.98297 218.124001 \nL 59.592918 207.539999 \nL 60.202865 206.459999 \nL 60.812812 211.319999 \nL 61.422759 210.059999 \nL 62.032706 213.588 \nL 62.642653 208.227274 \nL 63.252601 211.319999 \nL 63.862548 203.46923 \nL 64.472495 199.979999 \nL 65.082442 203.004 \nL 65.692389 199.979999 \nL 66.302336 194.643529 \nL 66.912284 192.42 \nL 67.522231 195.205263 \nL 68.742125 195.66 \nL 69.962019 192.091305 \nL 70.571967 190.530002 \nL 71.181914 190.908001 \nL 71.791861 189.512308 \nL 72.401808 184.859997 \nL 73.621702 185.902761 \nL 74.23165 187.884001 \nL 74.841597 188.274194 \nL 75.451544 187.222501 \nL 76.671438 190.641176 \nL 77.281385 189.611999 \nL 77.891333 187.379997 \nL 78.50128 187.720544 \nL 79.111227 184.462105 \nL 79.721174 182.533843 \nL 82.160963 184.156746 \nL 82.77091 182.454545 \nL 84.600752 180.677871 \nL 85.210699 182.025 \nL 85.820646 180.539997 \nL 87.04054 183.081173 \nL 87.650487 182.533843 \nL 88.260435 182.863021 \nL 89.480329 185.134912 \nL 90.090276 183.779997 \nL 90.700223 184.064213 \nL 91.31017 183.556552 \nL 91.920118 183.834915 \nL 92.530065 182.591999 \nL 93.140012 182.133444 \nL 93.749959 183.152902 \nL 94.359906 182.699997 \nL 96.189748 183.485453 \nL 96.799695 182.377612 \nL 97.409642 181.969412 \nL 98.019589 182.887827 \nL 99.239484 183.369296 \nL 99.849431 184.230002 \nL 100.459378 184.445755 \nL 101.069325 184.042705 \nL 101.679272 183.0456 \nL 102.289219 183.268423 \nL 102.899167 182.896364 \nL 103.509114 183.115382 \nL 104.119061 183.903041 \nL 105.948902 184.491217 \nL 106.55885 184.131325 \nL 107.168797 183.24 \nL 108.998638 183.81724 \nL 109.608585 184.516361 \nL 110.218533 183.161121 \nL 110.82848 183.347998 \nL 112.658321 182.421289 \nL 113.268268 182.608086 \nL 113.878216 183.268423 \nL 114.488163 183.442498 \nL 115.09811 184.080618 \nL 115.708057 184.242858 \nL 116.318004 183.485453 \nL 119.36774 184.278458 \nL 119.977687 184.859997 \nL 120.587634 184.574719 \nL 121.197582 183.87084 \nL 122.417476 184.166425 \nL 123.027423 183.485453 \nL 123.63737 183.225407 \nL 124.247317 183.375001 \nL 124.857265 182.719112 \nL 125.467212 183.268423 \nL 126.077159 183.413738 \nL 126.687106 183.165514 \nL 127.297053 183.309228 \nL 128.516948 182.827056 \nL 129.126895 181.836 \nL 129.736842 181.985952 \nL 130.346789 181.761642 \nL 130.956736 180.803415 \nL 132.786578 182.339997 \nL 134.006472 181.906876 \nL 135.226366 180.789228 \nL 135.836314 181.281985 \nL 136.446261 181.08 \nL 137.056208 180.539997 \nL 137.666155 180.34657 \nL 138.276102 180.492 \nL 138.886049 180.301764 \nL 139.495997 180.445403 \nL 140.105944 179.929563 \nL 141.325838 180.216003 \nL 141.935785 180.034466 \nL 142.545732 179.21662 \nL 143.15568 179.044613 \nL 144.375574 179.333378 \nL 144.985521 179.164108 \nL 145.595468 179.305712 \nL 146.205415 179.751892 \nL 146.815363 179.278791 \nL 147.42531 179.719198 \nL 148.035257 179.252585 \nL 149.865098 179.656364 \nL 150.475046 179.494841 \nL 151.084993 179.916924 \nL 151.69494 179.466878 \nL 152.304887 179.309619 \nL 153.524781 179.568002 \nL 154.134729 178.849563 \nL 154.744676 178.980002 \nL 155.354623 178.273986 \nL 157.184464 177.846503 \nL 158.404359 178.110002 \nL 159.014306 177.971007 \nL 159.624253 178.100472 \nL 160.2342 177.963159 \nL 160.844147 177.56372 \nL 161.454095 177.431098 \nL 162.064042 177.03931 \nL 162.673989 177.170397 \nL 163.283936 177.04227 \nL 163.893883 177.428138 \nL 164.50383 177.299997 \nL 165.113778 177.680113 \nL 165.723725 177.048002 \nL 166.333672 177.174696 \nL 166.943619 177.050767 \nL 167.553566 176.68033 \nL 168.163513 176.806957 \nL 168.773461 176.687029 \nL 169.383408 177.056127 \nL 169.993355 177.178718 \nL 170.603302 177.541279 \nL 171.213249 177.659997 \nL 171.823196 177.538738 \nL 173.653038 177.887565 \nL 174.872932 177.648926 \nL 175.482879 177.762858 \nL 176.092827 176.954617 \nL 176.702774 176.84182 \nL 177.312721 176.958092 \nL 178.532615 176.735823 \nL 179.142562 176.850891 \nL 179.75251 177.188275 \nL 180.362457 177.077648 \nL 181.582351 177.299997 \nL 182.192298 177.190438 \nL 182.802245 177.299997 \nL 184.632087 176.977538 \nL 185.242034 176.658113 \nL 185.851981 176.767605 \nL 187.071876 176.139631 \nL 187.681823 176.460002 \nL 188.901717 176.675781 \nL 189.511664 176.57507 \nL 190.731559 176.786875 \nL 191.341506 176.482706 \nL 191.951453 176.588075 \nL 194.391242 176.20097 \nL 195.001189 176.305264 \nL 196.221083 176.116697 \nL 197.440977 176.322412 \nL 198.050925 176.229271 \nL 199.880766 176.531189 \nL 201.10066 176.347056 \nL 201.710608 176.635733 \nL 202.320555 176.543998 \nL 203.540449 175.987935 \nL 204.760343 176.184593 \nL 205.370291 176.096568 \nL 205.980238 176.193657 \nL 206.590185 175.922675 \nL 208.420026 176.211359 \nL 209.029974 176.125342 \nL 209.639921 175.680001 \nL 210.249868 175.596762 \nL 210.859815 175.15701 \nL 211.469762 175.254356 \nL 212.079709 174.819376 \nL 214.519498 175.20646 \nL 215.739392 175.04931 \nL 216.34934 174.626693 \nL 216.959287 174.550909 \nL 217.569234 174.646869 \nL 218.179181 174.401052 \nL 218.789128 174.496856 \nL 219.399075 174.422688 \nL 220.009023 174.517694 \nL 220.61897 174.276 \nL 223.058758 173.989053 \nL 223.668706 173.753672 \nL 224.8886 174.270539 \nL 226.718441 174.059997 \nL 227.328389 174.313662 \nL 227.938336 174.404681 \nL 228.548283 174.334771 \nL 229.768177 174.83305 \nL 232.207966 174.553288 \nL 232.817913 174.640968 \nL 233.42786 174.572167 \nL 234.037807 174.659177 \nL 234.647755 174.435969 \nL 236.477596 175.154597 \nL 237.087543 175.238181 \nL 237.69749 175.47342 \nL 238.917385 175.636803 \nL 239.527332 175.416278 \nL 243.187015 175.009836 \nL 243.796962 175.090912 \nL 244.406909 175.024659 \nL 245.016856 174.812516 \nL 246.846698 174.618981 \nL 247.456645 174.699746 \nL 248.066592 174.924001 \nL 248.676539 174.859749 \nL 249.286487 174.938993 \nL 249.896434 174.875092 \nL 250.506381 174.669404 \nL 251.116328 174.606753 \nL 251.726275 174.403181 \nL 252.336222 174.34174 \nL 252.94617 173.999814 \nL 254.166064 174.438829 \nL 254.776011 174.517181 \nL 255.385958 174.456328 \nL 256.605853 174.611491 \nL 257.2158 174.550909 \nL 258.435694 174.704099 \nL 259.045641 174.916215 \nL 260.265536 174.795043 \nL 261.48543 175.213706 \nL 262.095377 175.286982 \nL 262.705324 175.226015 \nL 263.315271 175.031999 \nL 263.925219 175.238181 \nL 265.145113 174.85347 \nL 265.75506 175.058374 \nL 266.365007 175.130609 \nL 266.974954 174.94023 \nL 267.584902 174.881669 \nL 268.194849 174.953796 \nL 268.804796 174.895532 \nL 269.414743 175.0968 \nL 270.02469 174.779997 \nL 271.244585 174.922778 \nL 272.464479 174.552842 \nL 273.074426 174.624273 \nL 273.684373 174.568233 \nL 274.29432 174.639218 \nL 274.904268 174.583454 \nL 275.514215 174.150003 \nL 276.734109 174.292709 \nL 277.344056 174.488427 \nL 277.954003 174.184616 \nL 278.563951 174.25529 \nL 279.173898 174.077707 \nL 279.783845 174.148286 \nL 280.393792 174.09522 \nL 281.613686 174.235134 \nL 282.223634 174.059997 \nL 282.833581 174.007742 \nL 284.663422 173.48976 \nL 285.273369 173.560211 \nL 285.883317 173.50997 \nL 286.493264 173.699998 \nL 287.713158 173.838317 \nL 288.323105 173.787873 \nL 290.762894 174.059997 \nL 291.982788 173.725115 \nL 292.592735 173.792781 \nL 293.202683 173.7435 \nL 293.81263 173.927078 \nL 294.422577 173.645681 \nL 295.642471 173.779695 \nL 296.862366 173.453011 \nL 298.08226 173.586653 \nL 298.692207 173.425028 \nL 299.912101 173.557798 \nL 300.522049 173.510572 \nL 301.131996 173.57642 \nL 302.961837 173.996002 \nL 303.571784 174.059997 \nL 305.401626 173.584693 \nL 306.011573 173.759708 \nL 306.62152 173.49241 \nL 310.281203 173.112085 \nL 311.501098 173.348595 \nL 312.720992 173.151876 \nL 314.550833 172.378871 \nL 316.990622 172.318877 \nL 317.600569 172.489093 \nL 318.210516 172.131066 \nL 318.820464 172.300931 \nL 320.040358 172.114507 \nL 321.260252 172.138346 \nL 321.870199 171.890089 \nL 323.090094 171.914793 \nL 324.309988 171.733094 \nL 327.969671 172.011389 \nL 329.189565 172.034998 \nL 329.799513 172.198266 \nL 331.019407 172.220889 \nL 332.849248 172.604141 \nL 338.338773 173.136283 \nL 338.94872 172.998619 \nL 340.168615 173.017078 \nL 342.608403 172.764002 \nL 343.21835 172.62917 \nL 346.878033 172.87811 \nL 348.097928 172.896576 \nL 351.147664 173.082642 \nL 352.977505 172.968913 \nL 354.807347 173.412003 \nL 355.417294 173.188964 \nL 358.46703 173.001776 \nL 359.076977 173.147321 \nL 359.686924 172.927952 \nL 360.296871 172.891263 \nL 360.906818 172.67328 \nL 360.906818 172.67328 \n\" clip-path=\"url(#p0d792dc116)\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n   </g>\n   <g id=\"line2d_16\">\n    <path d=\"M 56.543182 245.34 \nL 57.153129 109.259995 \nL 57.763076 94.139995 \nL 58.98297 145.548001 \nL 59.592918 147.059999 \nL 60.202865 148.139999 \nL 60.812812 143.280003 \nL 61.422759 149.579999 \nL 62.032706 154.619999 \nL 62.642653 154.619999 \nL 63.252601 158.400002 \nL 63.862548 165.08769 \nL 65.082442 163.691997 \nL 65.692389 163.124997 \nL 66.912284 172.259998 \nL 67.522231 173.71895 \nL 68.132178 170.495997 \nL 68.742125 169.739998 \nL 69.352072 173.176365 \nL 70.571967 171.630003 \nL 71.791861 170.321536 \nL 73.011755 172.440001 \nL 73.621702 167.133102 \nL 74.23165 166.716001 \nL 74.841597 164.862583 \nL 77.281385 163.691997 \nL 77.891333 164.699998 \nL 79.111227 164.169471 \nL 79.721174 166.250767 \nL 80.331121 164.826002 \nL 80.941069 165.683416 \nL 81.551016 165.419998 \nL 82.160963 163.059068 \nL 82.77091 164.929093 \nL 83.380857 162.684002 \nL 84.600752 162.340853 \nL 85.210699 163.124997 \nL 85.820646 164.802859 \nL 86.430593 161.8776 \nL 87.650487 161.59846 \nL 88.260435 162.322644 \nL 88.870382 161.340003 \nL 89.480329 159.568364 \nL 90.700223 160.986316 \nL 91.31017 160.094484 \nL 91.920118 160.770509 \nL 93.140012 163.543282 \nL 94.969853 160.998753 \nL 95.579801 161.59846 \nL 96.799695 161.390149 \nL 97.409642 162.624704 \nL 98.019589 163.166086 \nL 98.629536 161.748 \nL 99.239484 162.286482 \nL 99.849431 161.550003 \nL 100.459378 162.076441 \nL 102.289219 161.782106 \nL 102.899167 162.278182 \nL 103.509114 162.179998 \nL 104.119061 160.935947 \nL 105.338955 161.9 \nL 105.948902 161.811218 \nL 106.55885 162.81759 \nL 107.168797 163.259998 \nL 107.778744 162.624704 \nL 108.998638 163.483449 \nL 109.608585 162.86727 \nL 110.82848 163.691997 \nL 111.438427 164.589229 \nL 112.048374 164.973913 \nL 112.658321 165.838066 \nL 113.878216 166.556843 \nL 114.488163 166.432501 \nL 115.708057 165.265713 \nL 117.537899 166.296831 \nL 118.147846 167.071763 \nL 119.977687 166.716001 \nL 120.587634 166.173963 \nL 121.197582 166.489907 \nL 121.807529 167.219998 \nL 122.417476 167.104403 \nL 123.027423 167.403273 \nL 123.63737 167.28811 \nL 124.247317 167.985 \nL 124.857265 168.268142 \nL 125.467212 168.944207 \nL 126.077159 168.819649 \nL 127.297053 169.352305 \nL 127.907 169.227457 \nL 128.516948 169.48588 \nL 129.126895 170.117997 \nL 129.736842 170.364795 \nL 130.956736 171.583905 \nL 131.566683 171.812906 \nL 132.176631 171.312477 \nL 132.786578 171.179998 \nL 133.396525 171.763936 \nL 134.006472 171.984372 \nL 134.616419 171.498138 \nL 135.226366 172.066151 \nL 135.836314 171.932976 \nL 137.666155 172.560895 \nL 138.276102 172.427997 \nL 138.886049 171.963527 \nL 142.545732 171.230705 \nL 143.15568 170.797341 \nL 144.985521 170.464932 \nL 145.595468 170.974282 \nL 146.205415 170.863784 \nL 146.815363 171.059198 \nL 147.42531 170.949598 \nL 148.035257 171.442253 \nL 148.645204 171.331579 \nL 149.865098 171.703637 \nL 150.475046 172.178712 \nL 151.084993 171.775386 \nL 152.304887 171.558227 \nL 153.524781 170.779497 \nL 155.354623 171.316932 \nL 156.574517 172.214184 \nL 157.184464 172.108193 \nL 158.404359 172.440001 \nL 159.014306 172.871364 \nL 159.624253 172.764002 \nL 160.2342 172.392633 \nL 160.844147 172.816743 \nL 162.064042 172.607588 \nL 162.673989 173.023202 \nL 164.50383 172.713031 \nL 165.723725 172.008002 \nL 166.333672 171.410715 \nL 166.943619 171.56769 \nL 167.553566 171.475083 \nL 168.163513 171.876523 \nL 168.773461 171.783247 \nL 169.383408 171.934841 \nL 169.993355 171.842247 \nL 170.603302 171.991916 \nL 171.213249 171.420002 \nL 171.823196 171.092845 \nL 172.433144 171.006598 \nL 173.043091 170.684997 \nL 173.653038 170.601764 \nL 174.872932 169.972614 \nL 175.482879 169.894282 \nL 176.092827 169.586497 \nL 177.312721 169.891957 \nL 177.922668 170.2692 \nL 179.142562 170.563366 \nL 179.75251 169.814484 \nL 180.362457 169.962354 \nL 180.972404 169.88751 \nL 181.582351 170.253789 \nL 182.192298 169.739998 \nL 182.802245 169.885387 \nL 183.412193 169.378274 \nL 184.02214 169.524002 \nL 185.242034 168.527545 \nL 185.851981 168.675213 \nL 186.461928 168.609534 \nL 187.071876 168.755444 \nL 187.681823 168.480001 \nL 188.29177 168.834195 \nL 188.901717 168.768989 \nL 190.731559 167.961174 \nL 191.341506 168.105408 \nL 192.5614 167.579998 \nL 193.171347 167.522403 \nL 193.781294 166.863188 \nL 194.391242 166.80925 \nL 195.001189 166.357893 \nL 195.611136 166.702793 \nL 196.83103 166.205454 \nL 197.440977 166.351033 \nL 198.050925 166.106006 \nL 198.660872 166.444613 \nL 199.270819 166.201277 \nL 199.880766 166.152205 \nL 200.490713 166.294938 \nL 202.930502 166.10116 \nL 203.540449 166.428594 \nL 205.370291 166.83943 \nL 205.980238 166.420977 \nL 206.590185 166.373196 \nL 207.810079 166.64313 \nL 208.420026 166.413602 \nL 209.029974 166.547332 \nL 209.639921 166.859998 \nL 210.859815 166.763619 \nL 212.079709 167.023124 \nL 212.689657 167.327861 \nL 213.299604 167.454419 \nL 214.519498 168.053538 \nL 215.129445 168.175859 \nL 215.739392 167.777866 \nL 216.959287 168.365454 \nL 217.569234 168.484753 \nL 218.789128 167.701345 \nL 219.399075 167.483281 \nL 220.009023 167.604088 \nL 221.228917 167.508263 \nL 221.838864 167.294119 \nL 223.058758 167.201606 \nL 223.668706 166.825966 \nL 224.278653 166.78174 \nL 224.8886 167.065341 \nL 225.498547 167.020575 \nL 226.108494 166.813549 \nL 227.328389 167.049606 \nL 227.938336 166.683827 \nL 228.548283 166.641204 \nL 229.15823 166.439152 \nL 229.768177 166.716001 \nL 230.378124 166.832306 \nL 230.988072 167.105856 \nL 231.598019 166.905 \nL 232.817913 166.820274 \nL 233.42786 166.934227 \nL 234.037807 167.202742 \nL 234.647755 167.159794 \nL 235.257702 167.271428 \nL 235.867649 167.228541 \nL 236.477596 167.032701 \nL 238.307438 166.908164 \nL 238.917385 167.169602 \nL 239.527332 167.278607 \nL 240.137279 167.086491 \nL 240.747226 167.045348 \nL 241.357173 167.302892 \nL 241.967121 167.26131 \nL 242.577068 167.368233 \nL 243.187015 167.326712 \nL 243.796962 167.579998 \nL 244.406909 167.684853 \nL 245.016856 167.935354 \nL 246.236751 168.140772 \nL 246.846698 168.387414 \nL 248.066592 168.299998 \nL 248.676539 168.113168 \nL 249.286487 168.21369 \nL 249.896434 168.170945 \nL 250.506381 168.412856 \nL 251.116328 168.369752 \nL 251.726275 168.609534 \nL 252.336222 168.28435 \nL 252.94617 168.242045 \nL 253.556117 168.339999 \nL 254.166064 168.297788 \nL 254.776011 168.394971 \nL 255.385958 168.214129 \nL 257.2158 168.090545 \nL 258.435694 167.736141 \nL 259.045641 167.832973 \nL 259.655588 168.065029 \nL 260.265536 168.160299 \nL 260.875483 168.390003 \nL 261.48543 168.07994 \nL 262.095377 167.905918 \nL 265.145113 168.37347 \nL 266.365007 168.293739 \nL 266.974954 168.385319 \nL 268.194849 168.30621 \nL 268.804796 168.396965 \nL 269.414743 168.357599 \nL 270.02469 168.447692 \nL 271.244585 168.369347 \nL 271.854532 168.586783 \nL 273.074426 168.508315 \nL 273.684373 168.342351 \nL 274.29432 168.30402 \nL 275.514215 168.480001 \nL 276.734109 167.902207 \nL 277.344056 167.990577 \nL 277.954003 168.203078 \nL 278.563951 168.165862 \nL 279.173898 167.880984 \nL 279.783845 167.968447 \nL 280.393792 167.932171 \nL 281.003739 168.019026 \nL 281.613686 168.227999 \nL 282.833581 167.910967 \nL 283.443528 167.875333 \nL 284.053475 168.082461 \nL 284.663422 168.167518 \nL 285.273369 168.131492 \nL 285.883317 167.975335 \nL 287.103211 167.904857 \nL 287.713158 167.989265 \nL 288.323105 167.71606 \nL 289.543 167.884546 \nL 290.152947 167.613753 \nL 290.762894 167.697817 \nL 291.372841 167.66394 \nL 293.202683 167.913164 \nL 293.81263 167.646461 \nL 294.422577 167.613145 \nL 295.032524 167.695715 \nL 295.642471 167.54702 \nL 296.862366 167.711241 \nL 297.472313 167.678182 \nL 299.302154 167.125261 \nL 299.912101 167.320797 \nL 300.522049 167.289124 \nL 301.131996 167.37045 \nL 302.35189 167.082773 \nL 302.961837 167.275998 \nL 303.571784 167.244824 \nL 305.401626 166.930415 \nL 306.011573 166.789757 \nL 306.62152 166.980879 \nL 307.231467 166.950875 \nL 308.451362 166.562608 \nL 312.720992 166.256296 \nL 313.330939 166.443694 \nL 315.160781 166.466966 \nL 316.380675 166.517707 \nL 318.210516 166.434698 \nL 320.040358 166.876625 \nL 323.700041 166.709113 \nL 324.309988 166.475455 \nL 329.189565 166.263752 \nL 329.799513 166.439868 \nL 331.019407 166.387451 \nL 331.629354 166.060355 \nL 332.849248 165.910044 \nL 334.67909 165.736672 \nL 335.289037 165.514322 \nL 336.508931 165.565563 \nL 337.118879 165.443425 \nL 339.558667 165.838066 \nL 340.168615 166.008667 \nL 341.998456 165.645673 \nL 343.21835 165.695157 \nL 345.048192 165.720761 \nL 348.707875 166.054501 \nL 349.317822 165.653514 \nL 349.927769 165.63062 \nL 350.537716 165.795652 \nL 351.757611 165.562515 \nL 353.587452 165.681145 \nL 358.46703 165.502744 \nL 359.076977 165.298313 \nL 360.296871 165.346411 \nL 360.906818 165.415679 \nL 360.906818 165.415679 \n\" clip-path=\"url(#p0d792dc116)\" style=\"fill: none; stroke: #d62728; stroke-width: 1.5; stroke-linecap: square\"/>\n   </g>\n   <g id=\"line2d_17\">\n    <path d=\"M 56.543182 154.619999 \nL 57.153129 177.299997 \nL 57.763076 184.859997 \nL 58.373023 165.960001 \nL 58.98297 172.764002 \nL 59.592918 162.179998 \nL 60.202865 141.659999 \nL 60.812812 143.280003 \nL 61.422759 134.46 \nL 62.032706 141.011998 \nL 62.642653 138.125455 \nL 63.862548 147.641538 \nL 64.472495 154.619999 \nL 65.082442 148.571998 \nL 65.692389 148.949997 \nL 66.302336 146.615293 \nL 68.132178 147.815998 \nL 69.352072 144.310911 \nL 70.571967 141.389998 \nL 71.181914 140.104803 \nL 71.791861 140.663076 \nL 72.401808 139.5 \nL 73.011755 141.659999 \nL 73.621702 142.106895 \nL 74.23165 141.011998 \nL 76.061491 142.249088 \nL 77.891333 150.840002 \nL 78.50128 152.168111 \nL 79.111227 154.619999 \nL 80.941069 154.619999 \nL 81.551016 152.459999 \nL 82.77091 154.619999 \nL 83.380857 153.611997 \nL 83.990804 154.619999 \nL 84.600752 154.619999 \nL 85.210699 152.73 \nL 86.430593 156.434402 \nL 87.650487 156.364614 \nL 88.260435 155.475851 \nL 88.870382 155.460001 \nL 89.480329 154.619999 \nL 90.700223 154.619999 \nL 91.31017 153.837929 \nL 92.530065 153.863999 \nL 93.140012 154.619999 \nL 93.749959 154.619999 \nL 94.359906 156.059999 \nL 94.969853 156.037497 \nL 95.579801 153.922155 \nL 96.189748 153.932727 \nL 96.799695 155.297017 \nL 97.409642 153.952943 \nL 98.019589 153.305219 \nL 98.629536 154.619999 \nL 99.239484 154.619999 \nL 99.849431 155.25 \nL 100.459378 155.241369 \nL 101.069325 155.845949 \nL 101.679272 157.039199 \nL 102.289219 157.00737 \nL 104.119061 158.639243 \nL 104.729008 159.723001 \nL 105.338955 158.539998 \nL 105.948902 158.492197 \nL 106.55885 157.899039 \nL 107.168797 157.859998 \nL 107.778744 157.288234 \nL 108.998638 157.226894 \nL 110.218533 158.187642 \nL 110.82848 157.139998 \nL 111.438427 156.613845 \nL 112.048374 157.085215 \nL 112.658321 155.595482 \nL 113.268268 154.619999 \nL 113.878216 155.574947 \nL 115.09811 155.555258 \nL 115.708057 156.008568 \nL 116.318004 156.91091 \nL 116.927951 156.434402 \nL 117.537899 156.416436 \nL 118.147846 156.843528 \nL 118.757793 155.500779 \nL 119.36774 156.364614 \nL 119.977687 156.348 \nL 120.587634 156.75962 \nL 121.197582 156.739626 \nL 121.807529 156.300003 \nL 122.417476 156.284585 \nL 123.63737 155.437297 \nL 124.857265 155.422832 \nL 125.467212 155.017897 \nL 126.077159 155.803306 \nL 126.687106 156.184137 \nL 127.907 156.157628 \nL 128.516948 156.907057 \nL 129.126895 157.266003 \nL 129.736842 157.993884 \nL 130.346789 157.966232 \nL 130.956736 158.307807 \nL 131.566683 158.278066 \nL 132.176631 157.88592 \nL 132.786578 158.219998 \nL 133.396525 157.834489 \nL 134.006472 156.74625 \nL 134.616419 156.378139 \nL 135.836314 156.351298 \nL 136.446261 156.681815 \nL 137.666155 156.651047 \nL 138.886049 157.288234 \nL 139.495997 157.268761 \nL 140.715891 157.883311 \nL 141.325838 157.859998 \nL 141.935785 157.515322 \nL 143.15568 158.109229 \nL 143.765627 158.084998 \nL 144.985521 158.658905 \nL 146.815363 157.664294 \nL 148.645204 158.499476 \nL 149.255151 157.881175 \nL 149.865098 157.859998 \nL 150.475046 158.131744 \nL 151.69494 156.931336 \nL 152.304887 156.629621 \nL 152.914834 156.902265 \nL 153.524781 156.604497 \nL 157.184464 158.172292 \nL 157.794412 157.607787 \nL 158.404359 157.589997 \nL 159.014306 158.109229 \nL 161.454095 158.028552 \nL 162.064042 157.748276 \nL 162.673989 158.248799 \nL 163.893883 158.207798 \nL 164.50383 157.932808 \nL 165.113778 157.914302 \nL 166.333672 158.880328 \nL 166.943619 158.607691 \nL 167.553566 158.833771 \nL 168.163513 158.810871 \nL 168.773461 159.278592 \nL 169.383408 159.49742 \nL 169.993355 158.986204 \nL 170.603302 158.96298 \nL 171.213249 158.700001 \nL 172.433144 159.132249 \nL 173.043091 158.872501 \nL 174.872932 159.504923 \nL 175.482879 159.942856 \nL 176.092827 160.146091 \nL 176.702774 159.659998 \nL 177.312721 159.634672 \nL 177.922668 159.382798 \nL 178.532615 159.584776 \nL 179.142562 158.886533 \nL 179.75251 158.865519 \nL 180.362457 159.067057 \nL 181.582351 159.023886 \nL 182.192298 158.783476 \nL 182.802245 158.763462 \nL 183.412193 159.177705 \nL 184.02214 159.156001 \nL 185.851981 159.730983 \nL 186.461928 159.707103 \nL 187.071876 159.472465 \nL 188.29177 159.42774 \nL 188.901717 159.821833 \nL 189.511664 160.005203 \nL 190.121611 159.774546 \nL 191.341506 159.72811 \nL 191.951453 159.908607 \nL 192.5614 160.29 \nL 193.781294 160.23982 \nL 195.001189 160.588424 \nL 195.611136 160.958515 \nL 196.221083 161.128177 \nL 196.83103 161.099998 \nL 197.440977 160.681031 \nL 198.050925 160.8497 \nL 199.270819 160.796681 \nL 199.880766 160.386102 \nL 200.490713 160.361769 \nL 202.320555 161.423999 \nL 204.150396 161.9 \nL 204.760343 161.684261 \nL 205.370291 162.025713 \nL 205.980238 161.995608 \nL 207.200132 162.301934 \nL 207.810079 161.906745 \nL 208.420026 162.059043 \nL 209.029974 161.848684 \nL 210.859815 162.299054 \nL 211.469762 161.913173 \nL 212.079709 161.88469 \nL 212.689657 161.150428 \nL 213.299604 161.125115 \nL 213.909551 161.275135 \nL 214.519498 161.59846 \nL 215.129445 161.745519 \nL 216.959287 161.664544 \nL 218.179181 161.952633 \nL 219.399075 162.574923 \nL 220.009023 162.545351 \nL 220.61897 162.684002 \nL 221.228917 162.989003 \nL 222.448811 163.259998 \nL 223.058758 163.228467 \nL 224.278653 163.494785 \nL 226.108494 163.399352 \nL 226.718441 163.53 \nL 227.328389 163.498293 \nL 227.938336 163.627656 \nL 229.15823 163.564228 \nL 229.768177 163.691997 \nL 230.378124 163.660283 \nL 230.988072 163.786828 \nL 231.598019 163.597497 \nL 232.817913 163.848411 \nL 233.42786 163.816703 \nL 234.037807 163.940545 \nL 234.647755 163.908736 \nL 235.257702 163.722859 \nL 236.477596 163.661351 \nL 237.087543 163.783638 \nL 237.69749 163.600674 \nL 238.307438 163.722339 \nL 238.917385 163.994402 \nL 239.527332 163.963256 \nL 240.137279 163.782117 \nL 240.747226 163.751883 \nL 241.967121 163.097116 \nL 243.187015 163.041887 \nL 243.796962 162.86727 \nL 244.406909 162.987381 \nL 245.016856 162.960385 \nL 247.456645 163.431972 \nL 248.066592 163.116001 \nL 248.676539 163.089113 \nL 250.506381 162.582885 \nL 251.116328 162.699751 \nL 252.336222 163.213042 \nL 252.94617 163.186438 \nL 253.556117 162.879998 \nL 254.166064 162.715013 \nL 254.776011 162.690187 \nL 255.385958 162.804221 \nL 255.995905 162.779266 \nL 256.605853 163.030214 \nL 257.2158 163.142179 \nL 257.825747 163.116433 \nL 258.435694 162.95422 \nL 259.045641 163.201619 \nL 259.655588 163.175928 \nL 260.265536 163.421191 \nL 260.875483 163.259998 \nL 262.705324 163.183538 \nL 263.315271 163.291766 \nL 263.925219 163.266331 \nL 264.535166 163.108424 \nL 265.75506 163.059068 \nL 267.584902 163.77043 \nL 268.194849 163.613793 \nL 268.804796 163.328083 \nL 269.414743 163.303203 \nL 270.02469 163.407693 \nL 270.634637 162.996134 \nL 271.244585 163.100908 \nL 273.074426 162.647192 \nL 273.684373 162.878822 \nL 274.29432 162.855753 \nL 275.514215 163.062002 \nL 276.124162 163.038615 \nL 277.344056 163.242147 \nL 277.954003 163.218463 \nL 278.563951 162.946359 \nL 279.173898 163.171473 \nL 279.783845 163.024576 \nL 281.003739 162.979026 \nL 284.053475 163.473689 \nL 284.663422 163.691997 \nL 285.273369 163.788511 \nL 285.883317 163.764191 \nL 286.493264 163.860003 \nL 287.103211 163.596253 \nL 287.713158 163.81137 \nL 288.323105 163.906296 \nL 289.543 163.384076 \nL 290.152947 163.597497 \nL 290.762894 163.338546 \nL 291.982788 163.527904 \nL 292.592735 163.50495 \nL 293.202683 163.365502 \nL 293.81263 163.459387 \nL 295.032524 163.761427 \nL 295.642471 163.853588 \nL 296.252418 163.830154 \nL 296.862366 163.921673 \nL 298.08226 163.874812 \nL 298.692207 163.965527 \nL 299.302154 163.828424 \nL 299.912101 163.805402 \nL 301.131996 163.646866 \nL 301.741943 163.624466 \nL 302.35189 163.265345 \nL 302.961837 163.132 \nL 304.791679 163.625297 \nL 306.011573 163.470729 \nL 307.841415 163.516272 \nL 309.061309 163.801299 \nL 312.111045 164.124002 \nL 315.770728 164.629013 \nL 316.990622 164.688224 \nL 318.210516 164.85237 \nL 319.430411 164.385001 \nL 323.090094 164.25123 \nL 324.919935 164.699998 \nL 327.969671 165.095517 \nL 328.579618 164.970601 \nL 329.189565 165.150003 \nL 330.40946 165.002403 \nL 332.239301 164.933642 \nL 332.849248 165.110746 \nL 333.459196 164.888308 \nL 334.67909 164.942625 \nL 335.289037 165.019125 \nL 335.898984 164.798824 \nL 337.728826 164.83091 \nL 338.94872 164.884658 \nL 340.168615 164.937941 \nL 340.778562 165.012975 \nL 341.998456 164.775221 \nL 344.438245 165.168834 \nL 345.658139 165.5064 \nL 346.878033 165.460756 \nL 349.317822 166.030729 \nL 349.927769 166.10116 \nL 351.757611 165.843095 \nL 352.367558 166.006667 \nL 352.977505 165.890145 \nL 357.247135 166.465019 \nL 357.857082 166.624367 \nL 359.686924 166.369877 \nL 360.906818 166.413602 \nL 360.906818 166.413602 \n\" clip-path=\"url(#p0d792dc116)\" style=\"fill: none; stroke: #9467bd; stroke-width: 1.5; stroke-linecap: square\"/>\n   </g>\n   <g id=\"line2d_18\">\n    <path d=\"M 56.543182 154.619999 \nL 57.153129 199.979999 \nL 57.763076 199.979999 \nL 58.373023 188.64 \nL 58.98297 172.764002 \nL 59.592918 184.859997 \nL 60.202865 193.5 \nL 60.812812 194.310001 \nL 61.422759 189.9 \nL 62.642653 191.732728 \nL 63.252601 181.08 \nL 64.472495 183.779997 \nL 65.082442 181.836 \nL 65.692389 182.969999 \nL 66.302336 186.63882 \nL 66.912284 187.379997 \nL 68.132178 179.568002 \nL 68.742125 180.539997 \nL 69.352072 175.238181 \nL 69.962019 176.313916 \nL 70.571967 179.190002 \nL 71.181914 180.021603 \nL 71.791861 177.299997 \nL 72.401808 179.819997 \nL 73.011755 180.539997 \nL 73.621702 182.774483 \nL 74.841597 180.958065 \nL 75.451544 177.299997 \nL 77.281385 175.356 \nL 77.891333 173.520001 \nL 78.50128 174.235134 \nL 79.111227 173.71895 \nL 79.721174 175.555382 \nL 80.331121 175.031999 \nL 82.160963 176.772559 \nL 82.77091 174.207273 \nL 83.380857 175.787999 \nL 83.990804 174.34174 \nL 84.600752 173.922131 \nL 85.210699 175.409999 \nL 87.04054 174.187056 \nL 87.650487 175.555382 \nL 88.260435 173.448678 \nL 88.870382 172.259998 \nL 90.090276 173.249999 \nL 90.700223 174.514734 \nL 91.920118 175.377967 \nL 92.530065 176.543998 \nL 93.140012 174.69738 \nL 93.749959 175.105161 \nL 94.359906 174.779997 \nL 95.579801 175.555382 \nL 96.189748 174.550909 \nL 96.799695 174.93045 \nL 97.409642 175.96588 \nL 98.019589 175.656519 \nL 99.239484 176.341689 \nL 99.849431 174.779997 \nL 100.459378 173.882468 \nL 101.679272 173.368798 \nL 102.899167 175.238181 \nL 103.509114 174.973844 \nL 104.119061 175.290382 \nL 104.729008 174.465 \nL 105.338955 174.779997 \nL 105.948902 175.640487 \nL 107.168797 175.139997 \nL 107.778744 175.432237 \nL 108.998638 177.03931 \nL 110.218533 176.535509 \nL 112.658321 177.543868 \nL 113.268268 177.299997 \nL 113.878216 175.628841 \nL 115.708057 176.374289 \nL 116.318004 177.070909 \nL 116.927951 177.299997 \nL 118.147846 175.076468 \nL 118.757793 175.758644 \nL 119.36774 174.683078 \nL 119.977687 174.492003 \nL 121.197582 174.968409 \nL 121.807529 174.779997 \nL 123.027423 175.238181 \nL 123.63737 175.869731 \nL 124.247317 175.274998 \nL 124.857265 175.09221 \nL 125.467212 174.514734 \nL 126.077159 173.158433 \nL 126.687106 172.998619 \nL 128.516948 173.678821 \nL 129.126895 173.520001 \nL 129.736842 172.61405 \nL 130.346789 172.838359 \nL 130.956736 172.690246 \nL 131.566683 172.178712 \nL 132.176631 172.401122 \nL 132.786578 172.979998 \nL 133.396525 172.835432 \nL 134.006472 173.401878 \nL 134.616419 173.607904 \nL 135.226366 173.112923 \nL 135.836314 172.971758 \nL 137.056208 174.059997 \nL 137.666155 174.253431 \nL 139.495997 173.823501 \nL 140.715891 174.852517 \nL 141.325838 174.707999 \nL 141.935785 174.887232 \nL 142.545732 175.383382 \nL 143.15568 174.603779 \nL 143.765627 174.779997 \nL 144.375574 175.266624 \nL 144.985521 175.435893 \nL 145.595468 174.677143 \nL 146.205415 174.235134 \nL 146.815363 174.103493 \nL 147.42531 174.276 \nL 150.475046 173.641936 \nL 151.69494 173.977455 \nL 152.304887 174.429116 \nL 152.914834 174.304531 \nL 153.524781 174.7485 \nL 154.134729 174.905218 \nL 154.744676 174.779997 \nL 155.354623 174.9346 \nL 155.96457 173.980976 \nL 156.574517 173.863637 \nL 157.184464 174.294216 \nL 157.794412 174.176404 \nL 158.404359 174.600001 \nL 159.014306 174.750176 \nL 159.624253 174.364944 \nL 160.2342 174.514734 \nL 160.844147 174.399071 \nL 161.454095 174.022545 \nL 162.064042 174.432414 \nL 162.673989 174.059997 \nL 163.283936 174.465 \nL 164.50383 174.242022 \nL 165.113778 173.878994 \nL 165.723725 174.276 \nL 166.333672 174.41801 \nL 167.553566 173.705898 \nL 168.163513 173.109131 \nL 168.773461 173.254379 \nL 169.383408 173.154195 \nL 169.993355 173.297645 \nL 170.603302 172.715748 \nL 171.823196 173.002735 \nL 172.433144 172.906492 \nL 173.043091 173.047501 \nL 173.653038 172.952021 \nL 174.872932 173.229228 \nL 175.482879 172.902855 \nL 176.702774 173.634548 \nL 177.922668 173.4444 \nL 178.532615 173.57642 \nL 179.142562 173.931681 \nL 179.75251 174.059997 \nL 180.362457 173.74235 \nL 180.972404 173.649074 \nL 181.582351 173.11631 \nL 182.192298 173.465218 \nL 182.802245 173.374618 \nL 184.632087 173.752888 \nL 185.242034 174.090569 \nL 185.851981 173.786197 \nL 186.461928 174.12056 \nL 187.681823 174.360003 \nL 188.29177 174.059997 \nL 188.901717 173.970824 \nL 189.511664 173.67534 \nL 190.121611 173.79491 \nL 190.731559 173.708142 \nL 191.951453 173.943767 \nL 192.5614 174.262502 \nL 193.171347 174.3768 \nL 193.781294 174.690797 \nL 194.391242 174.402552 \nL 195.001189 174.315791 \nL 195.611136 173.833626 \nL 196.221083 173.947302 \nL 196.83103 174.256365 \nL 198.660872 174.004613 \nL 200.490713 174.333419 \nL 201.710608 173.788867 \nL 202.320555 173.709001 \nL 202.930502 173.441574 \nL 204.760343 173.210161 \nL 205.370291 173.50457 \nL 206.590185 173.71895 \nL 207.810079 173.565544 \nL 209.029974 173.776018 \nL 209.639921 173.520001 \nL 210.249868 173.445299 \nL 210.859815 173.549762 \nL 211.469762 173.297645 \nL 212.079709 173.401878 \nL 212.689657 173.152295 \nL 213.299604 173.080466 \nL 213.909551 173.359457 \nL 214.519498 173.287384 \nL 215.129445 173.042067 \nL 215.739392 173.144887 \nL 216.34934 173.419391 \nL 216.959287 173.348183 \nL 217.569234 172.764002 \nL 218.179181 173.036842 \nL 218.789128 172.967865 \nL 219.399075 172.730152 \nL 220.61897 172.932001 \nL 223.668706 174.248511 \nL 224.278653 174.177391 \nL 224.8886 173.779276 \nL 225.498547 173.547193 \nL 226.108494 173.641936 \nL 227.938336 173.439574 \nL 228.548283 173.533357 \nL 229.15823 173.466759 \nL 230.378124 173.65217 \nL 230.988072 173.427806 \nL 231.598019 173.677503 \nL 232.207966 173.611554 \nL 232.817913 173.389657 \nL 233.42786 173.481034 \nL 234.037807 172.950413 \nL 234.647755 173.042662 \nL 235.257702 172.979998 \nL 235.867649 173.071523 \nL 236.477596 173.00919 \nL 237.087543 173.1 \nL 237.69749 173.037984 \nL 238.307438 172.824685 \nL 240.137279 172.643844 \nL 240.747226 172.883761 \nL 243.187015 173.236805 \nL 243.796962 173.176365 \nL 244.406909 172.969514 \nL 245.016856 173.056647 \nL 245.626804 172.705656 \nL 246.846698 172.590095 \nL 247.456645 172.821786 \nL 248.676539 172.993671 \nL 249.896434 172.87811 \nL 251.116328 173.047501 \nL 251.726275 172.707475 \nL 252.336222 172.510431 \nL 253.556117 172.679999 \nL 254.776011 172.569202 \nL 255.995905 172.736343 \nL 256.605853 172.957023 \nL 258.435694 173.201205 \nL 259.045641 172.736755 \nL 260.265536 172.628595 \nL 260.875483 172.440001 \nL 262.095377 172.602958 \nL 262.705324 172.549912 \nL 263.925219 172.710793 \nL 264.535166 172.92316 \nL 265.145113 172.869796 \nL 265.75506 173.080466 \nL 266.365007 172.764002 \nL 268.194849 172.607588 \nL 268.804796 172.686014 \nL 269.414743 172.634401 \nL 270.02469 172.453844 \nL 270.634637 172.403184 \nL 271.244585 172.481306 \nL 272.464479 172.380676 \nL 273.074426 172.458203 \nL 273.684373 172.281174 \nL 274.904268 172.182788 \nL 276.124162 172.588088 \nL 277.344056 172.489093 \nL 279.173898 173.086231 \nL 280.393792 173.232392 \nL 281.003739 173.059026 \nL 281.613686 172.641404 \nL 282.833581 173.032259 \nL 283.443528 173.104501 \nL 284.663422 173.005919 \nL 285.883317 173.149017 \nL 286.493264 173.1 \nL 287.103211 173.170924 \nL 287.713158 172.883369 \nL 289.543 173.450915 \nL 290.152947 173.283748 \nL 290.762894 173.35309 \nL 292.592735 173.208248 \nL 293.202683 173.393679 \nL 293.81263 173.112923 \nL 294.422577 173.181637 \nL 295.032524 172.902855 \nL 296.252418 173.155432 \nL 296.862366 173.10851 \nL 297.472313 173.176365 \nL 298.08226 173.129625 \nL 299.302154 173.491579 \nL 300.522049 173.397457 \nL 302.35189 173.931681 \nL 303.571784 174.059997 \nL 304.791679 173.964707 \nL 305.401626 174.139215 \nL 306.62152 174.154599 \nL 308.451362 174.34174 \nL 309.061309 174.075611 \nL 312.111045 173.952 \nL 314.550833 174.090569 \nL 315.160781 173.938022 \nL 316.380675 174.166231 \nL 317.600569 173.546436 \nL 319.430411 173.624998 \nL 322.480147 173.511349 \nL 324.309988 173.79491 \nL 324.919935 173.442859 \nL 325.529882 173.605518 \nL 326.749777 173.315678 \nL 328.579618 173.393152 \nL 329.799513 173.410556 \nL 330.40946 173.570397 \nL 331.629354 173.586903 \nL 335.289037 173.932662 \nL 336.508931 173.75009 \nL 337.728826 173.765453 \nL 340.778562 173.171951 \nL 341.998456 173.382986 \nL 344.438245 173.607904 \nL 345.658139 173.432463 \nL 348.707875 173.614501 \nL 349.317822 173.48071 \nL 349.927769 173.62979 \nL 350.537716 173.49652 \nL 352.977505 173.714043 \nL 353.587452 173.581969 \nL 354.197399 173.26491 \nL 356.637188 173.573669 \nL 357.247135 173.71895 \nL 358.46703 173.641936 \nL 359.686924 173.838797 \nL 360.906818 173.943361 \nL 360.906818 173.943361 \n\" clip-path=\"url(#p0d792dc116)\" style=\"fill: none; stroke: #8c564b; stroke-width: 1.5; stroke-linecap: square\"/>\n   </g>\n   <g id=\"line2d_19\">\n    <path d=\"M 41.325 169.5888 \nL 376.125 169.5888 \n\" clip-path=\"url(#p0d792dc116)\" style=\"fill: none; stroke-dasharray: 5.55,2.4; stroke-dashoffset: 0; stroke: #000000; stroke-width: 1.5\"/>\n   </g>\n   <g id=\"patch_3\">\n    <path d=\"M 41.325 256.68 \nL 41.325 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_4\">\n    <path d=\"M 376.125 256.68 \nL 376.125 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_5\">\n    <path d=\"M 41.325 256.68 \nL 376.125 256.68 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"patch_6\">\n    <path d=\"M 41.325 7.2 \nL 376.125 7.2 \n\" style=\"fill: none; stroke: #000000; stroke-width: 0.8; stroke-linejoin: miter; stroke-linecap: square\"/>\n   </g>\n   <g id=\"legend_1\">\n    <g id=\"patch_7\">\n     <path d=\"M 297.125 96.528125 \nL 369.125 96.528125 \nQ 371.125 96.528125 371.125 94.528125 \nL 371.125 14.2 \nQ 371.125 12.2 369.125 12.2 \nL 297.125 12.2 \nQ 295.125 12.2 295.125 14.2 \nL 295.125 94.528125 \nQ 295.125 96.528125 297.125 96.528125 \nz\n\" style=\"fill: #ffffff; opacity: 0.8; stroke: #cccccc; stroke-linejoin: miter\"/>\n    </g>\n    <g id=\"line2d_20\">\n     <path d=\"M 299.125 20.004687 \nL 309.125 20.004687 \nL 319.125 20.004687 \n\" style=\"fill: none; stroke: #1f77b4; stroke-width: 1.5; stroke-linecap: square\"/>\n    </g>\n    <g id=\"text_15\">\n     <!-- P(die=1) -->\n     <g transform=\"translate(327.125 23.504687) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"SimHei-50\" d=\"M 2950 3100 \nQ 2950 2500 2600 2150 \nQ 2250 1800 1625 1800 \nL 900 1800 \nL 900 125 \nL 325 125 \nL 325 4400 \nL 1625 4400 \nQ 2250 4400 2600 4050 \nQ 2950 3700 2950 3100 \nz\nM 2375 3100 \nQ 2375 3575 2150 3750 \nQ 1925 3925 1475 3925 \nL 900 3925 \nL 900 2275 \nL 1475 2275 \nQ 1925 2275 2150 2450 \nQ 2375 2625 2375 3100 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-28\" d=\"M 2975 -200 \nL 2700 -475 \nQ 2075 125 1762 775 \nQ 1450 1425 1450 2250 \nQ 1450 3075 1762 3725 \nQ 2075 4375 2700 5000 \nL 2975 4725 \nQ 2400 4175 2112 3587 \nQ 1825 3000 1825 2250 \nQ 1825 1500 2112 912 \nQ 2400 325 2975 -200 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-3d\" d=\"M 2975 2900 \nL 125 2900 \nL 125 3300 \nL 2975 3300 \nL 2975 2900 \nz\nM 2975 1375 \nL 125 1375 \nL 125 1775 \nL 2975 1775 \nL 2975 1375 \nz\n\" transform=\"scale(0.015625)\"/>\n       <path id=\"SimHei-29\" d=\"M 1675 2250 \nQ 1675 1425 1362 775 \nQ 1050 125 425 -475 \nL 150 -200 \nQ 725 325 1012 912 \nQ 1300 1500 1300 2250 \nQ 1300 3000 1012 3587 \nQ 725 4175 150 4725 \nL 425 5000 \nQ 1050 4375 1362 3725 \nQ 1675 3075 1675 2250 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#SimHei-50\"/>\n      <use xlink:href=\"#SimHei-28\" x=\"50\"/>\n      <use xlink:href=\"#SimHei-64\" x=\"100\"/>\n      <use xlink:href=\"#SimHei-69\" x=\"150\"/>\n      <use xlink:href=\"#SimHei-65\" x=\"200\"/>\n      <use xlink:href=\"#SimHei-3d\" x=\"250\"/>\n      <use xlink:href=\"#SimHei-31\" x=\"300\"/>\n      <use xlink:href=\"#SimHei-29\" x=\"350\"/>\n     </g>\n    </g>\n    <g id=\"line2d_21\">\n     <path d=\"M 299.125 33.559375 \nL 309.125 33.559375 \nL 319.125 33.559375 \n\" style=\"fill: none; stroke: #ff7f0e; stroke-width: 1.5; stroke-linecap: square\"/>\n    </g>\n    <g id=\"text_16\">\n     <!-- P(die=2) -->\n     <g transform=\"translate(327.125 37.059375) scale(0.1 -0.1)\">\n      <use xlink:href=\"#SimHei-50\"/>\n      <use xlink:href=\"#SimHei-28\" x=\"50\"/>\n      <use xlink:href=\"#SimHei-64\" x=\"100\"/>\n      <use xlink:href=\"#SimHei-69\" x=\"150\"/>\n      <use xlink:href=\"#SimHei-65\" x=\"200\"/>\n      <use xlink:href=\"#SimHei-3d\" x=\"250\"/>\n      <use xlink:href=\"#SimHei-32\" x=\"300\"/>\n      <use xlink:href=\"#SimHei-29\" x=\"350\"/>\n     </g>\n    </g>\n    <g id=\"line2d_22\">\n     <path d=\"M 299.125 47.114062 \nL 309.125 47.114062 \nL 319.125 47.114062 \n\" style=\"fill: none; stroke: #2ca02c; stroke-width: 1.5; stroke-linecap: square\"/>\n    </g>\n    <g id=\"text_17\">\n     <!-- P(die=3) -->\n     <g transform=\"translate(327.125 50.614062) scale(0.1 -0.1)\">\n      <use xlink:href=\"#SimHei-50\"/>\n      <use xlink:href=\"#SimHei-28\" x=\"50\"/>\n      <use xlink:href=\"#SimHei-64\" x=\"100\"/>\n      <use xlink:href=\"#SimHei-69\" x=\"150\"/>\n      <use xlink:href=\"#SimHei-65\" x=\"200\"/>\n      <use xlink:href=\"#SimHei-3d\" x=\"250\"/>\n      <use xlink:href=\"#SimHei-33\" x=\"300\"/>\n      <use xlink:href=\"#SimHei-29\" x=\"350\"/>\n     </g>\n    </g>\n    <g id=\"line2d_23\">\n     <path d=\"M 299.125 60.66875 \nL 309.125 60.66875 \nL 319.125 60.66875 \n\" style=\"fill: none; stroke: #d62728; stroke-width: 1.5; stroke-linecap: square\"/>\n    </g>\n    <g id=\"text_18\">\n     <!-- P(die=4) -->\n     <g transform=\"translate(327.125 64.16875) scale(0.1 -0.1)\">\n      <use xlink:href=\"#SimHei-50\"/>\n      <use xlink:href=\"#SimHei-28\" x=\"50\"/>\n      <use xlink:href=\"#SimHei-64\" x=\"100\"/>\n      <use xlink:href=\"#SimHei-69\" x=\"150\"/>\n      <use xlink:href=\"#SimHei-65\" x=\"200\"/>\n      <use xlink:href=\"#SimHei-3d\" x=\"250\"/>\n      <use xlink:href=\"#SimHei-34\" x=\"300\"/>\n      <use xlink:href=\"#SimHei-29\" x=\"350\"/>\n     </g>\n    </g>\n    <g id=\"line2d_24\">\n     <path d=\"M 299.125 74.223437 \nL 309.125 74.223437 \nL 319.125 74.223437 \n\" style=\"fill: none; stroke: #9467bd; stroke-width: 1.5; stroke-linecap: square\"/>\n    </g>\n    <g id=\"text_19\">\n     <!-- P(die=5) -->\n     <g transform=\"translate(327.125 77.723437) scale(0.1 -0.1)\">\n      <use xlink:href=\"#SimHei-50\"/>\n      <use xlink:href=\"#SimHei-28\" x=\"50\"/>\n      <use xlink:href=\"#SimHei-64\" x=\"100\"/>\n      <use xlink:href=\"#SimHei-69\" x=\"150\"/>\n      <use xlink:href=\"#SimHei-65\" x=\"200\"/>\n      <use xlink:href=\"#SimHei-3d\" x=\"250\"/>\n      <use xlink:href=\"#SimHei-35\" x=\"300\"/>\n      <use xlink:href=\"#SimHei-29\" x=\"350\"/>\n     </g>\n    </g>\n    <g id=\"line2d_25\">\n     <path d=\"M 299.125 87.778125 \nL 309.125 87.778125 \nL 319.125 87.778125 \n\" style=\"fill: none; stroke: #8c564b; stroke-width: 1.5; stroke-linecap: square\"/>\n    </g>\n    <g id=\"text_20\">\n     <!-- P(die=6) -->\n     <g transform=\"translate(327.125 91.278125) scale(0.1 -0.1)\">\n      <defs>\n       <path id=\"SimHei-36\" d=\"M 250 1612 \nQ 275 1975 387 2225 \nQ 500 2475 725 2850 \nL 1750 4450 \nL 2325 4450 \nL 1275 2800 \nQ 1950 2975 2350 2750 \nQ 2750 2525 2887 2237 \nQ 3025 1950 3037 1612 \nQ 3050 1275 2937 950 \nQ 2825 625 2537 362 \nQ 2250 100 1737 75 \nQ 1225 50 862 262 \nQ 500 475 362 862 \nQ 225 1250 250 1612 \nz\nM 1025 787 \nQ 1250 550 1625 525 \nQ 2000 500 2250 775 \nQ 2500 1050 2500 1575 \nQ 2500 2100 2187 2300 \nQ 1875 2500 1487 2450 \nQ 1100 2400 925 2075 \nQ 750 1750 775 1387 \nQ 800 1025 1025 787 \nz\n\" transform=\"scale(0.015625)\"/>\n      </defs>\n      <use xlink:href=\"#SimHei-50\"/>\n      <use xlink:href=\"#SimHei-28\" x=\"50\"/>\n      <use xlink:href=\"#SimHei-64\" x=\"100\"/>\n      <use xlink:href=\"#SimHei-69\" x=\"150\"/>\n      <use xlink:href=\"#SimHei-65\" x=\"200\"/>\n      <use xlink:href=\"#SimHei-3d\" x=\"250\"/>\n      <use xlink:href=\"#SimHei-36\" x=\"300\"/>\n      <use xlink:href=\"#SimHei-29\" x=\"350\"/>\n     </g>\n    </g>\n   </g>\n  </g>\n </g>\n <defs>\n  <clipPath id=\"p0d792dc116\">\n   <rect x=\"41.325\" y=\"7.2\" width=\"334.8\" height=\"249.48\"/>\n  </clipPath>\n </defs>\n</svg>\n"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "counts = multinomial.Multinomial(10, fair_probs).sample((500,))\n",
    "print(counts)\n",
    "cum_counts = counts.cumsum(dim=0)\n",
    "print(cum_counts)\n",
    "estimates = cum_counts / cum_counts.sum(dim=1, keepdims=True)\n",
    "\n",
    "d2l.set_figsize((6, 4.5))\n",
    "for i in range(6):\n",
    "    d2l.plt.plot(estimates[:, i].numpy(),\n",
    "                 label=(\"P(die=\" + str(i + 1) + \")\"))\n",
    "d2l.plt.axhline(y=0.167, color='black', linestyle='dashed')\n",
    "d2l.plt.gca().set_xlabel('Groups of experiments')\n",
    "d2l.plt.gca().set_ylabel('Estimated probability')\n",
    "d2l.plt.legend();"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "end_time": "2024-03-28T08:01:04.627366Z",
     "start_time": "2024-03-28T08:01:04.336820Z"
    }
   },
   "id": "1cf46cece199964b",
   "execution_count": 8
  },
  {
   "cell_type": "markdown",
   "source": [
    "#### 2.6.1.1. 概率论公理"
   ],
   "metadata": {
    "collapsed": false
   },
   "id": "2f6c253a1bae80bf"
  },
  {
   "cell_type": "code",
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   },
   "id": "4a6c4290ce4589af"
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
